151516904 has 64 divisors (see below), whose sum is σ = 356106240. Its totient is φ = 58714560.

The previous prime is 151516889. The next prime is 151516919. The reversal of 151516904 is 409615151.

It is an interprime number because it is at equal distance from previous prime (151516889) and next prime (151516919).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136817 + ... + 137919.

It is an arithmetic number, because the mean of its divisors is an integer number (5564160).

Almost surely, 2^151516904 is an apocalyptic number.

151516904 is a gapful number since it is divisible by the number (14) 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 151516904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178053120).

151516904 is an abundant number, since it is smaller than the sum of its proper divisors (204589336).

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

151516904 is a wasteful number, since it uses less digits than its factorization.

151516904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 32.

The square root of 151516904 is about 12309.2202839985. The cubic root of 151516904 is about 533.1143375194.

The spelling of 151516904 in words is "one hundred fifty-one million, five hundred sixteen thousand, nine hundred four".