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148122864 = 24331991723
BaseRepresentation
bin10001101010000…
…10110011110000
3101022201102101000
420311002303300
5300404412424
622410442000
73446011041
oct1065026360
9338642330
10148122864
117667a99a
1241733300
13248c2686
141595a8c8
15d00d3c9
hex8d42cf0

148122864 has 80 divisors (see below), whose sum is σ = 427552000. Its totient is φ = 49097664.

The previous prime is 148122851. The next prime is 148122869. The reversal of 148122864 is 468221841.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148122869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85107 + ... + 86829.

It is an arithmetic number, because the mean of its divisors is an integer number (5344400).

Almost surely, 2148122864 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 148122864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213776000).

148122864 is an abundant number, since it is smaller than the sum of its proper divisors (279429136).

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

148122864 is a wasteful number, since it uses less digits than its factorization.

148122864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1939 (or 1927 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 148122864 is about 12170.5736923121. The cubic root of 148122864 is about 529.1035802142.

The spelling of 148122864 in words is "one hundred forty-eight million, one hundred twenty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 199 216 398 432 597 796 1194 1592 1723 1791 2388 3184 3446 3582 4776 5169 5373 6892 7164 9552 10338 10746 13784 14328 15507 20676 21492 27568 28656 31014 41352 42984 46521 62028 82704 85968 93042 124056 186084 248112 342877 372168 685754 744336 1028631 1371508 2057262 2743016 3085893 4114524 5486032 6171786 8229048 9257679 12343572 16458096 18515358 24687144 37030716 49374288 74061432 148122864