151617960 has 128 divisors (see below), whose sum is σ = 544320000. Its totient is φ = 37317888.

The previous prime is 151617953. The next prime is 151617979. The reversal of 151617960 is 69716151.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8641 + ... + 19439.

It is an arithmetic number, because the mean of its divisors is an integer number (4252500).

Almost surely, 2^151617960 is an apocalyptic number.

151617960 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 151617960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272160000).

151617960 is an abundant number, since it is smaller than the sum of its proper divisors (392702040).

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

151617960 is a wasteful number, since it uses less digits than its factorization.

151617960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10832 (or 10822 counting only the distinct ones).

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

The square root of 151617960 is about 12313.3244901611. The cubic root of 151617960 is about 533.2328334938.

The spelling of 151617960 in words is "one hundred fifty-one million, six hundred seventeen thousand, nine hundred sixty".