152645136 has 80 divisors (see below), whose sum is σ = 453840000. Its totient is φ = 43305984.

The previous prime is 152645131. The next prime is 152645137. The reversal of 152645136 is 631546251.

152645136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 152645097 and 152645106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152645131) 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, 48540 + ... + 51588.

It is an arithmetic number, because the mean of its divisors is an integer number (5673000).

Almost surely, 2^152645136 is an apocalyptic number.

152645136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152645136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226920000).

152645136 is an abundant number, since it is smaller than the sum of its proper divisors (301194864).

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

152645136 is a wasteful number, since it uses less digits than its factorization.

152645136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3216 (or 3210 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 152645136 is about 12354.9640226105. The cubic root of 152645136 is about 534.4343000024.

The spelling of 152645136 in words is "one hundred fifty-two million, six hundred forty-five thousand, one hundred thirty-six".