151311353056000 has 288 divisors, whose sum is σ = 410456121566400. Its totient is φ = 55361824358400.

The previous prime is 151311353055949. The next prime is 151311353056021. The reversal of 151311353056000 is 650353113151.

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, 13341184 + ... + 21922816.

It is an arithmetic number, because the mean of its divisors is an integer number (1425194866550).

Almost surely, 2^{151311353056000} is an apocalyptic number.

151311353056000 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 151311353056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205228060783200).

151311353056000 is an abundant number, since it is smaller than the sum of its proper divisors (259144768510400).

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

151311353056000 is an equidigital number, since it uses as much as digits as its factorization.

151311353056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8581712 (or 8581688 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 34.

The spelling of 151311353056000 in words is "one hundred fifty-one trillion, three hundred eleven billion, three hundred fifty-three million, fifty-six thousand".