152809970688 has 308 divisors, whose sum is σ = 460271962120. Its totient is φ = 50684092416.

The previous prime is 152809970653. The next prime is 152809970689. The reversal of 152809970688 is 886079908251.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152809970689) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 206779023 + ... + 206779761.

Almost surely, 2^152809970688 is an apocalyptic number.

152809970688 is a gapful number since it is divisible by the number (18) 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 152809970688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230135981060).

152809970688 is an abundant number, since it is smaller than the sum of its proper divisors (307461991432).

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

152809970688 is an frugal number, since it uses more digits than its factorization.

152809970688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 152809970688 in words is "one hundred fifty-two billion, eight hundred nine million, nine hundred seventy thousand, six hundred eighty-eight".