157106628 has 120 divisors (see below), whose sum is σ = 478602432. Its totient is φ = 44006976.

The previous prime is 157106623. The next prime is 157106647. The reversal of 157106628 is 826601751.

157106628 is a `hidden beast` number, since 1 + 571 + 0 + 66 + 28 = 666.

It is a super-3 number, since 3×157106628³ (a number of 26 digits) contains 333 as substring.

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 = 157106592 and 157106601.

It is not an unprimeable number, because it can be changed into a prime (157106623) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 119551 + ... + 120857.

Almost surely, 2^157106628 is an apocalyptic number.

157106628 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 157106628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239301216).

157106628 is an abundant number, since it is smaller than the sum of its proper divisors (321495804).

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

157106628 is a wasteful number, since it uses less digits than its factorization.

157106628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 157106628 is about 12534.2182843606. The cubic root of 157106628 is about 539.5911720405.

The spelling of 157106628 in words is "one hundred fifty-seven million, one hundred six thousand, six hundred twenty-eight".