151956000 has 480 divisors, whose sum is σ = 646918272. Its totient is φ = 34214400.

The previous prime is 151955897. The next prime is 151956037. The reversal of 151956000 is 659151.

151956000 is a `hidden beast` number, since 1 + 51 + 9 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2267967 + ... + 2268033.

Almost surely, 2^151956000 is an apocalyptic number.

151956000 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 151956000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323459136).

151956000 is an abundant number, since it is smaller than the sum of its proper divisors (494962272).

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

151956000 is an equidigital number, since it uses as much as digits as its factorization.

151956000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 151956000 is about 12327.0434411500. The cubic root of 151956000 is about 533.6288293043.

The spelling of 151956000 in words is "one hundred fifty-one million, nine hundred fifty-six thousand".