151682976 has 192 divisors, whose sum is σ = 489888000. Its totient is φ = 45416448.

The previous prime is 151682939. The next prime is 151682987. The reversal of 151682976 is 679286151.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 337600 + ... + 338048.

It is an arithmetic number, because the mean of its divisors is an integer number (2551500).

Almost surely, 2^151682976 is an apocalyptic number.

151682976 is a gapful number since it is divisible by the number (16) 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 151682976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244944000).

151682976 is an abundant number, since it is smaller than the sum of its proper divisors (338205024).

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

151682976 is a wasteful number, since it uses less digits than its factorization.

151682976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 494 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 151682976 is about 12315.9642740632. The cubic root of 151682976 is about 533.3090419492.

The spelling of 151682976 in words is "one hundred fifty-one million, six hundred eighty-two thousand, nine hundred seventy-six".