406157136 has 80 divisors (see below), whose sum is σ = 1308154368. Its totient is φ = 105494400.

The previous prime is 406157131. The next prime is 406157137. The reversal of 406157136 is 631751604.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 406157097 and 406157106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406157131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51250 + ... + 58641.

Almost surely, 2^406157136 is an apocalyptic number.

It is an amenable number.

406157136 is an abundant number, since it is smaller than the sum of its proper divisors (901997232).

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

406157136 is a wasteful number, since it uses less digits than its factorization.

406157136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109920 (or 109914 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 406157136 is about 20153.3405667646. The cubic root of 406157136 is about 740.5675801378.

The spelling of 406157136 in words is "four hundred six million, one hundred fifty-seven thousand, one hundred thirty-six".