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147040148136 = 233724110213557
BaseRepresentation
bin1000100011110001000…
…1101001101010101000
3112001112110222110102110
42020330101221222220
54402114234220021
6151314352402320
713423535431350
oct2107421515250
9461473873373
10147040148136
11573a536a692
12245b75463a0
1310b342b401b
14718c639b60
153c58d1b476
hex223c469aa8

147040148136 has 128 divisors (see below), whose sum is σ = 422389820160. Its totient is φ = 41784422400.

The previous prime is 147040148131. The next prime is 147040148141. The reversal of 147040148136 is 631841040741.

It is an interprime number because it is at equal distance from previous prime (147040148131) and next prime (147040148141).

It is a junction number, because it is equal to n+sod(n) for n = 147040148094 and 147040148103.

It is not an unprimeable number, because it can be changed into a prime (147040148131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41336470 + ... + 41340026.

It is an arithmetic number, because the mean of its divisors is an integer number (3299920470).

Almost surely, 2147040148136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147040148136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211194910080).

147040148136 is an abundant number, since it is smaller than the sum of its proper divisors (275349672024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

147040148136 is a wasteful number, since it uses less digits than its factorization.

147040148136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4835 (or 4831 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

Adding to 147040148136 its reverse (631841040741), we get a palindrome (778881188877).

The spelling of 147040148136 in words is "one hundred forty-seven billion, forty million, one hundred forty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 241 482 723 964 1021 1446 1687 1928 2042 2892 3063 3374 3557 4084 5061 5784 6126 6748 7114 7147 8168 10122 10671 12252 13496 14228 14294 20244 21342 21441 24504 24899 28456 28588 40488 42684 42882 49798 57176 74697 85368 85764 99596 149394 171528 199192 246061 298788 492122 597576 738183 857237 984244 1476366 1714474 1722427 1968488 2571711 2952732 3428948 3444854 3631697 5143422 5167281 5905464 6000659 6857896 6889708 7263394 10286844 10334562 10895091 12001318 13779416 14526788 18001977 20573688 20669124 21790182 24002636 25421879 29053576 36003954 41338248 43580364 48005272 50843758 72007908 76265637 87160728 101687516 144015816 152531274 203375032 305062548 610125096 875238977 1750477954 2625716931 3500955908 5251433862 6126672839 7001911816 10502867724 12253345678 18380018517 21005735448 24506691356 36760037034 49013382712 73520074068 147040148136