137535408 has 50 divisors (see below), whose sum is σ = 398071124. Its totient is φ = 45844704.

The previous prime is 137535407. The next prime is 137535421. The reversal of 137535408 is 804535731.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (137535407) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 51766 + ... + 54357.

Almost surely, 2^137535408 is an apocalyptic number.

137535408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

137535408 is an abundant number, since it is smaller than the sum of its proper divisors (260535716).

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

137535408 is a wasteful number, since it uses less digits than its factorization.

137535408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106143 (or 106128 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 137535408 is about 11727.5491045657. The cubic root of 137535408 is about 516.1843581371.

The spelling of 137535408 in words is "one hundred thirty-seven million, five hundred thirty-five thousand, four hundred eight".