152429700960 has 768 divisors, whose sum is σ = 576674380800. Its totient is φ = 37959321600.

The previous prime is 152429700947. The next prime is 152429701027. The reversal of 152429700960 is 69007924251.

152429700960 is a `hidden beast` number, since 152 + 429 + 70 + 0 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 671496367 + ... + 671496593.

It is an arithmetic number, because the mean of its divisors is an integer number (750878100).

Almost surely, 2^152429700960 is an apocalyptic number.

152429700960 is a gapful number since it is divisible by the number (10) 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 152429700960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288337190400).

152429700960 is an abundant number, since it is smaller than the sum of its proper divisors (424244679840).

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

152429700960 is a wasteful number, since it uses less digits than its factorization.

152429700960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 152429700960 in words is "one hundred fifty-two billion, four hundred twenty-nine million, seven hundred thousand, nine hundred sixty".