151927920 has 160 divisors (see below), whose sum is σ = 537733440. Its totient is φ = 39398400.

The previous prime is 151927913. The next prime is 151927921. The reversal of 151927920 is 29729151.

151927920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151927921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78970 + ... + 80870.

It is an arithmetic number, because the mean of its divisors is an integer number (3360834).

Almost surely, 2^151927920 is an apocalyptic number.

151927920 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 151927920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268866720).

151927920 is an abundant number, since it is smaller than the sum of its proper divisors (385805520).

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

151927920 is a wasteful number, since it uses less digits than its factorization.

151927920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 151927920 is about 12325.9044292904. The cubic root of 151927920 is about 533.5959574629.

The spelling of 151927920 in words is "one hundred fifty-one million, nine hundred twenty-seven thousand, nine hundred twenty".