151788672 has 144 divisors (see below), whose sum is σ = 508288950. Its totient is φ = 43352064.

The previous prime is 151788649. The next prime is 151788677. The reversal of 151788672 is 276887151.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 150405696 + 1382976 = 12264^2 + 1176^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (151788677) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55104 + ... + 57792.

Almost surely, 2^151788672 is an apocalyptic number.

151788672 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 151788672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254144475).

151788672 is an abundant number, since it is smaller than the sum of its proper divisors (356500278).

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

151788672 is a wasteful number, since it uses less digits than its factorization.

151788672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2723 (or 2701 counting only the distinct ones).

The product of its digits is 188160, while the sum is 45.

The square root of 151788672 is about 12320.2545428250. The cubic root of 151788672 is about 533.4328869714.

The spelling of 151788672 in words is "one hundred fifty-one million, seven hundred eighty-eight thousand, six hundred seventy-two".