152041535055252 has 288 divisors, whose sum is σ = 397680192000000. Its totient is φ = 48959762556672.

The previous prime is 152041535055251. The next prime is 152041535055373. The reversal of 152041535055252 is 252550535140251.

152041535055252 is a `hidden beast` number, since 1 + 5 + 2 + 0 + 4 + 15 + 35 + 0 + 552 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 152041535055198 and 152041535055207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152041535055251) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11273184853 + ... + 11273198339.

It is an arithmetic number, because the mean of its divisors is an integer number (1380834000000).

Almost surely, 2^{152041535055252} is an apocalyptic number.

152041535055252 is a gapful number since it is divisible by the number (12) 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 152041535055252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198840096000000).

152041535055252 is an abundant number, since it is smaller than the sum of its proper divisors (245638656944748).

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

152041535055252 is a wasteful number, since it uses less digits than its factorization.

152041535055252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14083 (or 14078 counting only the distinct ones).

The product of its (nonzero) digits is 1500000, while the sum is 45.

The spelling of 152041535055252 in words is "one hundred fifty-two trillion, forty-one billion, five hundred thirty-five million, fifty-five thousand, two hundred fifty-two".