137404928416 has 48 divisors (see below), whose sum is σ = 327347044416. Its totient is φ = 55423835136.

The previous prime is 137404928387. The next prime is 137404928473. The reversal of 137404928416 is 614829404731.

It is a happy number.

It is a super-2 number, since 2×137404928416² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 137404928416.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18037806 + ... + 18045421.

It is an arithmetic number, because the mean of its divisors is an integer number (6819730092).

Almost surely, 2^137404928416 is an apocalyptic number.

137404928416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137404928416 is an abundant number, since it is smaller than the sum of its proper divisors (189942116000).

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

137404928416 is a wasteful number, since it uses less digits than its factorization.

137404928416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36083261 (or 36083253 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

The spelling of 137404928416 in words is "one hundred thirty-seven billion, four hundred four million, nine hundred twenty-eight thousand, four hundred sixteen".