157126409 has 16 divisors (see below), whose sum is σ = 188282880. Its totient is φ = 129436560.

The previous prime is 157126373. The next prime is 157126433. The reversal of 157126409 is 904621751.

157126409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 157126409 - 2⁸ = 157126153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (157123409) 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, 11537 + ... + 21150.

It is an arithmetic number, because the mean of its divisors is an integer number (11767680).

Almost surely, 2^157126409 is an apocalyptic number.

157126409 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

157126409 is a deficient number, since it is larger than the sum of its proper divisors (31156471).

157126409 is a wasteful number, since it uses less digits than its factorization.

157126409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32740.

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 157126409 is about 12535.0073394474. The cubic root of 157126409 is about 539.6138173933.

The spelling of 157126409 in words is "one hundred fifty-seven million, one hundred twenty-six thousand, four hundred nine".