137400705 has 48 divisors (see below), whose sum is σ = 266011200. Its totient is φ = 67635648.

The previous prime is 137400667. The next prime is 137400709. The reversal of 137400705 is 507004731.

It is not a de Polignac number, because 137400705 - 2⁸ = 137400449 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (137400709) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11446 + ... + 20144.

It is an arithmetic number, because the mean of its divisors is an integer number (5541900).

Almost surely, 2^137400705 is an apocalyptic number.

137400705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137400705 is a deficient number, since it is larger than the sum of its proper divisors (128610495).

137400705 is an equidigital number, since it uses as much as digits as its factorization.

137400705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8732 (or 8720 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 137400705 is about 11721.8046818739. The cubic root of 137400705 is about 516.0157850769.

The spelling of 137400705 in words is "one hundred thirty-seven million, four hundred thousand, seven hundred five".