152503133130304 has 112 divisors (see below), whose sum is σ = 331132424587776. Its totient is φ = 69110168371200.

The previous prime is 152503133130289. The next prime is 152503133130307. The reversal of 152503133130304 is 403031331305251.

It is a super-2 number, since 2×152503133130304² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 152503133130304.

It is not an unprimeable number, because it can be changed into a prime (152503133130307) 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, 1380925969 + ... + 1381036399.

It is an arithmetic number, because the mean of its divisors is an integer number (2956539505248).

Almost surely, 2^{152503133130304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152503133130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165566212293888).

152503133130304 is an abundant number, since it is smaller than the sum of its proper divisors (178629291457472).

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

152503133130304 is a wasteful number, since it uses less digits than its factorization.

152503133130304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116364 (or 116354 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 34.

Adding to 152503133130304 its reverse (403031331305251), we get a palindrome (555534464435555).

The spelling of 152503133130304 in words is "one hundred fifty-two trillion, five hundred three billion, one hundred thirty-three million, one hundred thirty thousand, three hundred four".