137010400 has 36 divisors (see below), whose sum is σ = 334478592. Its totient is φ = 54803840.

The previous prime is 137010347. The next prime is 137010407. The reversal of 137010400 is 4010731.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137010407) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 84832 + ... + 86431.

It is an arithmetic number, because the mean of its divisors is an integer number (9291072).

Almost surely, 2^137010400 is an apocalyptic number.

137010400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137010400 is an abundant number, since it is smaller than the sum of its proper divisors (197468192).

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

137010400 is a wasteful number, since it uses less digits than its factorization.

137010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171283 (or 171270 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 137010400 is about 11705.1441682706. The cubic root of 137010400 is about 515.5267178457.

The spelling of 137010400 in words is "one hundred thirty-seven million, ten thousand, four hundred".