137257947000 has 96 divisors (see below), whose sum is σ = 463931891280. Its totient is φ = 36602116800.

The previous prime is 137257946989. The next prime is 137257947017. The reversal of 137257947000 is 749752731.

137257947000 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 579 + 4 + 70 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7616442 + ... + 7634441.

Almost surely, 2^137257947000 is an apocalyptic number.

137257947000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137257947000 is an abundant number, since it is smaller than the sum of its proper divisors (326673944280).

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

137257947000 is a wasteful number, since it uses less digits than its factorization.

137257947000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15250910 (or 15250893 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 137257947000 in words is "one hundred thirty-seven billion, two hundred fifty-seven million, nine hundred forty-seven thousand".