152260652544 has 1280 divisors, whose sum is σ = 580762828800. Its totient is φ = 34898411520.

The previous prime is 152260652521. The next prime is 152260652569. The reversal of 152260652544 is 445256062251.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 152260652496 and 152260652505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3239588329 + ... + 3239588375.

It is an arithmetic number, because the mean of its divisors is an integer number (453720960).

Almost surely, 2^152260652544 is an apocalyptic number.

152260652544 is a gapful number since it is divisible by the number (14) 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 152260652544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290381414400).

152260652544 is an abundant number, since it is smaller than the sum of its proper divisors (428502176256).

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

152260652544 is a wasteful number, since it uses less digits than its factorization.

152260652544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 152260652544 in words is "one hundred fifty-two billion, two hundred sixty million, six hundred fifty-two thousand, five hundred forty-four".