157649364 has 72 divisors (see below), whose sum is σ = 424667880. Its totient is φ = 49139712.

The previous prime is 157649339. The next prime is 157649369. The reversal of 157649364 is 463946751.

157649364 is a `hidden beast` number, since 1 + 576 + 49 + 36 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 54464400 + 103184964 = 7380^2 + 10158^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157649369) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 105132 + ... + 106620.

It is an arithmetic number, because the mean of its divisors is an integer number (5898165).

Almost surely, 2^157649364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157649364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212333940).

157649364 is an abundant number, since it is smaller than the sum of its proper divisors (267018516).

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

157649364 is a wasteful number, since it uses less digits than its factorization.

157649364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1684 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 157649364 is about 12555.8497920292. The cubic root of 157649364 is about 540.2118099128.

The spelling of 157649364 in words is "one hundred fifty-seven million, six hundred forty-nine thousand, three hundred sixty-four".