152564256262332 has 144 divisors (see below), whose sum is σ = 403996166421120. Its totient is φ = 50338704439872.

The previous prime is 152564256262303. The next prime is 152564256262339. The reversal of 152564256262332 is 233262652465251.

152564256262332 is a `hidden beast` number, since 1 + 5 + 2 + 5 + 6 + 4 + 2 + 5 + 6 + 2 + 623 + 3 + 2 = 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 (152564256262339) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128060019 + ... + 129245877.

It is an arithmetic number, because the mean of its divisors is an integer number (2805528933480).

Almost surely, 2^{152564256262332} is an apocalyptic number.

152564256262332 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 152564256262332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201998083210560).

152564256262332 is an abundant number, since it is smaller than the sum of its proper divisors (251431910158788).

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

152564256262332 is a wasteful number, since it uses less digits than its factorization.

152564256262332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187222 (or 1187208 counting only the distinct ones).

The product of its digits is 31104000, while the sum is 54.

The spelling of 152564256262332 in words is "one hundred fifty-two trillion, five hundred sixty-four billion, two hundred fifty-six million, two hundred sixty-two thousand, three hundred thirty-two".