137099424 has 192 divisors, whose sum is σ = 475517952. Its totient is φ = 33484800.

The previous prime is 137099419. The next prime is 137099447. The reversal of 137099424 is 424990731.

It is a super-2 number, since 2×137099424² = 37592504122263552, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125119 + ... + 126209.

It is an arithmetic number, because the mean of its divisors is an integer number (2476656).

Almost surely, 2^137099424 is an apocalyptic number.

137099424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137099424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237758976).

137099424 is an abundant number, since it is smaller than the sum of its proper divisors (338418528).

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

137099424 is a wasteful number, since it uses less digits than its factorization.

137099424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 137099424 is about 11708.9463232180. The cubic root of 137099424 is about 515.6383500382.

The spelling of 137099424 in words is "one hundred thirty-seven million, ninety-nine thousand, four hundred twenty-four".