152616906000 has 640 divisors, whose sum is σ = 607841095680. Its totient is φ = 36350208000.

The previous prime is 152616905989. The next prime is 152616906053. The reversal of 152616906000 is 609616251.

152616906000 is a `hidden beast` number, since 15 + 26 + 16 + 9 + 0 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 21758494 + ... + 21765506.

It is an arithmetic number, because the mean of its divisors is an integer number (949751712).

Almost surely, 2^152616906000 is an apocalyptic number.

152616906000 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 152616906000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303920547840).

152616906000 is an abundant number, since it is smaller than the sum of its proper divisors (455224189680).

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

152616906000 is a wasteful number, since it uses less digits than its factorization.

152616906000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7089 (or 7067 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 152616906000 in words is "one hundred fifty-two billion, six hundred sixteen million, nine hundred six thousand".