151628920 has 32 divisors (see below), whose sum is σ = 346763520. Its totient is φ = 59656320.

The previous prime is 151628881. The next prime is 151628921. The reversal of 151628920 is 29826151.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151628921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28632 + ... + 33511.

It is an arithmetic number, because the mean of its divisors is an integer number (10836360).

Almost surely, 2^151628920 is an apocalyptic number.

151628920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151628920 is an abundant number, since it is smaller than the sum of its proper divisors (195134600).

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

151628920 is a wasteful number, since it uses less digits than its factorization.

151628920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62215 (or 62211 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 151628920 is about 12313.7695284588. The cubic root of 151628920 is about 533.2456817761.

The spelling of 151628920 in words is "one hundred fifty-one million, six hundred twenty-eight thousand, nine hundred twenty".