151139520 has 560 divisors, whose sum is σ = 663854400. Its totient is φ = 32514048.

The previous prime is 151139519. The next prime is 151139543. The reversal of 151139520 is 25931151.

151139520 is a `hidden beast` number, since 1 + 5 + 1 + 139 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 714 × 630 × 336.

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, 8890552 + ... + 8890568.

Almost surely, 2^151139520 is an apocalyptic number.

151139520 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 151139520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331927200).

151139520 is an abundant number, since it is smaller than the sum of its proper divisors (512714880).

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

151139520 is an equidigital number, since it uses as much as digits as its factorization.

151139520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 34 counting only the distinct ones).

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

The square root of 151139520 is about 12293.8814049917. The cubic root of 151139520 is about 532.6713592523.

The spelling of 151139520 in words is "one hundred fifty-one million, one hundred thirty-nine thousand, five hundred twenty".