137040600 has 96 divisors (see below), whose sum is σ = 436378320. Its totient is φ = 35550720.

The previous prime is 137040599. The next prime is 137040611. The reversal of 137040600 is 6040731.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19114 + ... + 25286.

Almost surely, 2^137040600 is an apocalyptic number.

137040600 is a gapful number since it is divisible by the number (10) 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 137040600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218189160).

137040600 is an abundant number, since it is smaller than the sum of its proper divisors (299337720).

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

137040600 is a wasteful number, since it uses less digits than its factorization.

137040600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6229 (or 6220 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 137040600 is about 11706.4341282903. The cubic root of 137040600 is about 515.5645927397.

The spelling of 137040600 in words is "one hundred thirty-seven million, forty thousand, six hundred".