152386428432 has 160 divisors (see below), whose sum is σ = 456687341568. Its totient is φ = 42887190528.

The previous prime is 152386428421. The next prime is 152386428457. The reversal of 152386428432 is 234824683251.

152386428432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×152386428432² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6176473 + ... + 6201095.

Almost surely, 2^152386428432 is an apocalyptic number.

152386428432 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 152386428432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228343670784).

152386428432 is an abundant number, since it is smaller than the sum of its proper divisors (304300913136).

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

152386428432 is a wasteful number, since it uses less digits than its factorization.

152386428432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24917 (or 24911 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 48.

The spelling of 152386428432 in words is "one hundred fifty-two billion, three hundred eighty-six million, four hundred twenty-eight thousand, four hundred thirty-two".