151632672 has 48 divisors (see below), whose sum is σ = 399803040. Its totient is φ = 50319872.

The previous prime is 151632671. The next prime is 151632683. The reversal of 151632672 is 276236151.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (151632671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18979 + ... + 25757.

It is an arithmetic number, because the mean of its divisors is an integer number (8329230).

Almost surely, 2^151632672 is an apocalyptic number.

151632672 is a gapful number since it is divisible by the number (12) 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 151632672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199901520).

151632672 is an abundant number, since it is smaller than the sum of its proper divisors (248170368).

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

151632672 is a wasteful number, since it uses less digits than its factorization.

151632672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7025 (or 7017 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 151632672 is about 12313.9218772899. The cubic root of 151632672 is about 533.2500800604.

The spelling of 151632672 in words is "one hundred fifty-one million, six hundred thirty-two thousand, six hundred seventy-two".