157578048 has 140 divisors (see below), whose sum is σ = 472996260. Its totient is φ = 51867648.

The previous prime is 157578023. The next prime is 157578059. The reversal of 157578048 is 840875751.

It is a happy number.

157578048 is a `hidden beast` number, since 1 + 575 + 78 + 0 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5992704 + 151585344 = 2448^2 + 12312^2 .

It is a super-2 number, since 2×157578048² = 49661682422980608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 157577994 and 157578012.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 585658 + ... + 585926.

Almost surely, 2^157578048 is an apocalyptic number.

157578048 is a gapful number since it is divisible by the number (18) 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 157578048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236498130).

157578048 is an abundant number, since it is smaller than the sum of its proper divisors (315418212).

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

157578048 is a wasteful number, since it uses less digits than its factorization.

157578048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The square root of 157578048 is about 12553.0095196331. The cubic root of 157578048 is about 540.1303389082.

The spelling of 157578048 in words is "one hundred fifty-seven million, five hundred seventy-eight thousand, forty-eight".