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145904136 = 23371914547
BaseRepresentation
bin10001011001001…
…01001000001000
3101011112200211220
420230211020020
5244322413021
622251122040
73421110330
oct1054451010
9334480756
10145904136
11753a4a34
1240a43320
13242c6811
14155400c0
15cc20cc6
hex8b25208

145904136 has 64 divisors (see below), whose sum is σ = 419143680. Its totient is φ = 41459520.

The previous prime is 145904119. The next prime is 145904137. The reversal of 145904136 is 631409541.

It is a junction number, because it is equal to n+sod(n) for n = 145904097 and 145904106.

It is not an unprimeable number, because it can be changed into a prime (145904137) 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, 29815 + ... + 34361.

It is an arithmetic number, because the mean of its divisors is an integer number (6549120).

Almost surely, 2145904136 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 145904136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209571840).

145904136 is an abundant number, since it is smaller than the sum of its proper divisors (273239544).

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

145904136 is a wasteful number, since it uses less digits than its factorization.

145904136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4754 (or 4750 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 145904136 is about 12079.0784416693. The cubic root of 145904136 is about 526.4484698519.

The spelling of 145904136 in words is "one hundred forty-five million, nine hundred four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 191 382 573 764 1146 1337 1528 2292 2674 4011 4547 4584 5348 8022 9094 10696 13641 16044 18188 27282 31829 32088 36376 54564 63658 95487 109128 127316 190974 254632 381948 763896 868477 1736954 2605431 3473908 5210862 6079339 6947816 10421724 12158678 18238017 20843448 24317356 36476034 48634712 72952068 145904136