152251905851136 has 1080 divisors, whose sum is σ = 569067133718160. Its totient is φ = 40130677407744.

The previous prime is 152251905851131. The next prime is 152251905851231. The reversal of 152251905851136 is 631158509152251.

It is a happy number.

152251905851136 is a `hidden beast` number, since 1 + 5 + 2 + 2 + 5 + 1 + 90 + 5 + 8 + 511 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152251905851131) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 43021164055 + ... + 43021167593.

It is an arithmetic number, because the mean of its divisors is an integer number (526914012702).

Almost surely, 2^{152251905851136} is an apocalyptic number.

152251905851136 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 152251905851136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284533566859080).

152251905851136 is an abundant number, since it is smaller than the sum of its proper divisors (416815227867024).

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

152251905851136 is a wasteful number, since it uses less digits than its factorization.

152251905851136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6851 (or 6821 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 54.

The spelling of 152251905851136 in words is "one hundred fifty-two trillion, two hundred fifty-one billion, nine hundred five million, eight hundred fifty-one thousand, one hundred thirty-six".