151212960 has 384 divisors, whose sum is σ = 587865600. Its totient is φ = 36126720.

The previous prime is 151212953. The next prime is 151212973. The reversal of 151212960 is 69212151.

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

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, 2129725 + ... + 2129795.

It is an arithmetic number, because the mean of its divisors is an integer number (1530900).

Almost surely, 2^151212960 is an apocalyptic number.

151212960 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 151212960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293932800).

151212960 is an abundant number, since it is smaller than the sum of its proper divisors (436652640).

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

151212960 is a wasteful number, since it uses less digits than its factorization.

151212960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 151212960 is about 12296.8678938988. The cubic root of 151212960 is about 532.7576218221.

It can be divided in two parts, 15121 and 2960, that added together give a palindrome (18081).

The spelling of 151212960 in words is "one hundred fifty-one million, two hundred twelve thousand, nine hundred sixty".