1257434136 has 96 divisors (see below), whose sum is σ = 4096934400. Its totient is φ = 340355520.

The previous prime is 1257434119. The next prime is 1257434141. The reversal of 1257434136 is 6314347521.

1257434136 is a `hidden beast` number, since 12 + 574 + 3 + 41 + 36 = 666.

It is a super-2 number, since 2×1257434136² = 3162281212756132992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1257434136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56080 + ... + 75231.

It is an arithmetic number, because the mean of its divisors is an integer number (42676400).

Almost surely, 2^1257434136 is an apocalyptic number.

It is an amenable number.

1257434136 is an abundant number, since it is smaller than the sum of its proper divisors (2839500264).

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

1257434136 is a wasteful number, since it uses less digits than its factorization.

1257434136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131349 (or 131342 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 1257434136 is about 35460.3177650737. The cubic root of 1257434136 is about 1079.3486401585.

The spelling of 1257434136 in words is "one billion, two hundred fifty-seven million, four hundred thirty-four thousand, one hundred thirty-six".