151362120 has 256 divisors, whose sum is σ = 568995840. Its totient is φ = 31362048.

The previous prime is 151362089. The next prime is 151362143. The reversal of 151362120 is 21263151.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 906277 + ... + 906443.

It is an arithmetic number, because the mean of its divisors is an integer number (2222640).

Almost surely, 2^151362120 is an apocalyptic number.

151362120 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 151362120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284497920).

151362120 is an abundant number, since it is smaller than the sum of its proper divisors (417633720).

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

151362120 is a wasteful number, since it uses less digits than its factorization.

151362120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 151362120 is about 12302.9313580138. The cubic root of 151362120 is about 532.9327391139.

The spelling of 151362120 in words is "one hundred fifty-one million, three hundred sixty-two thousand, one hundred twenty".