137393408 has 72 divisors (see below), whose sum is σ = 295317120. Its totient is φ = 63590400.

The previous prime is 137393407. The next prime is 137393413. The reversal of 137393408 is 804393731.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137393407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 228308 + ... + 228908.

Almost surely, 2^137393408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137393408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147658560).

137393408 is an abundant number, since it is smaller than the sum of its proper divisors (157923712).

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

137393408 is an equidigital number, since it uses as much as digits as its factorization.

137393408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 137393408 is about 11721.4934202089. The cubic root of 137393408 is about 516.0066501557.

The spelling of 137393408 in words is "one hundred thirty-seven million, three hundred ninety-three thousand, four hundred eight".