137553705 has 24 divisors (see below), whose sum is σ = 240152640. Its totient is φ = 72830880.

The previous prime is 137553697. The next prime is 137553739. The reversal of 137553705 is 507355731.

It is a happy number.

137553705 is a `hidden beast` number, since 1 + 37 + 553 + 70 + 5 = 666.

It is not a de Polignac number, because 137553705 - 2³ = 137553697 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137553705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4741 + ... + 17250.

It is an arithmetic number, because the mean of its divisors is an integer number (10006360).

Almost surely, 2^137553705 is an apocalyptic number.

137553705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137553705 is a deficient number, since it is larger than the sum of its proper divisors (102598935).

137553705 is a wasteful number, since it uses less digits than its factorization.

137553705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22141 (or 22138 counting only the distinct ones).

The product of its (nonzero) digits is 55125, while the sum is 36.

The square root of 137553705 is about 11728.3291648896. The cubic root of 137553705 is about 516.2072472887.

The spelling of 137553705 in words is "one hundred thirty-seven million, five hundred fifty-three thousand, seven hundred five".