151576640 has 56 divisors (see below), whose sum is σ = 363074712. Its totient is φ = 60272640.

The previous prime is 151576619. The next prime is 151576673. The reversal of 151576640 is 46675151.

151576640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12902464 + 138674176 = 3592^2 + 11776^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 151576640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56612 + ... + 59228.

It is an arithmetic number, because the mean of its divisors is an integer number (6483477).

Almost surely, 2^151576640 is an apocalyptic number.

151576640 is a gapful number since it is divisible by the number (10) 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 151576640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181537356).

151576640 is an abundant number, since it is smaller than the sum of its proper divisors (211498072).

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

151576640 is a wasteful number, since it uses less digits than its factorization.

151576640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2815 (or 2805 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The square root of 151576640 is about 12311.6465186424. The cubic root of 151576640 is about 533.1843889636.

The spelling of 151576640 in words is "one hundred fifty-one million, five hundred seventy-six thousand, six hundred forty".