152006492160 has 816 divisors, whose sum is σ = 577098273024. Its totient is φ = 38305529856.

The previous prime is 152006492153. The next prime is 152006492173. The reversal of 152006492160 is 61294600251.

152006492160 is a `hidden beast` number, since 1 + 5 + 2 + 0 + 0 + 6 + 492 + 160 = 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 47 ways as a sum of consecutive naturals, for example, 1831403479 + ... + 1831403561.

Almost surely, 2^152006492160 is an apocalyptic number.

152006492160 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 152006492160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288549136512).

152006492160 is an abundant number, since it is smaller than the sum of its proper divisors (425091780864).

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

152006492160 is an frugal number, since it uses more digits than its factorization.

152006492160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 152006492160 in words is "one hundred fifty-two billion, six million, four hundred ninety-two thousand, one hundred sixty".