137508757408 has 96 divisors (see below), whose sum is σ = 305223303168. Its totient is φ = 60415276800.

The previous prime is 137508757363. The next prime is 137508757427. The reversal of 137508757408 is 804757805731.

It is a super-4 number, since 4×137508757408⁴ (a number of 46 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9671841 + ... + 9686047.

It is an arithmetic number, because the mean of its divisors is an integer number (3179409408).

Almost surely, 2^137508757408 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 137508757408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152611651584).

137508757408 is an abundant number, since it is smaller than the sum of its proper divisors (167714545760).

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

137508757408 is a wasteful number, since it uses less digits than its factorization.

137508757408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15146 (or 15138 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 55.

It can be divided in two parts, 137508 and 757408, that added together give a square (894916 = 946²).

The spelling of 137508757408 in words is "one hundred thirty-seven billion, five hundred eight million, seven hundred fifty-seven thousand, four hundred eight".