151268544 has 84 divisors (see below), whose sum is σ = 495537744. Its totient is φ = 43218432.

The previous prime is 151268497. The next prime is 151268569. The reversal of 151268544 is 445862151.

It is a happy number.

151268544 is a `hidden beast` number, since 1 + 51 + 2 + 68 + 544 = 666.

151268544 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 151268499 and 151268508.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14727 + ... + 22790.

Almost surely, 2^151268544 is an apocalyptic number.

151268544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

151268544 is an abundant number, since it is smaller than the sum of its proper divisors (344269200).

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

151268544 is a wasteful number, since it uses less digits than its factorization.

151268544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37542 (or 37529 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 151268544 is about 12299.1277739521. The cubic root of 151268544 is about 532.8228921798.

The spelling of 151268544 in words is "one hundred fifty-one million, two hundred sixty-eight thousand, five hundred forty-four".