137113998 has 32 divisors (see below), whose sum is σ = 314620416. Its totient is φ = 39023328.

The previous prime is 137113997. The next prime is 137114009. The reversal of 137113998 is 899311731.

It is a super-3 number, since 3×137113998³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137113997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4840 + ... + 17252.

It is an arithmetic number, because the mean of its divisors is an integer number (9831888).

Almost surely, 2^137113998 is an apocalyptic number.

137113998 is an abundant number, since it is smaller than the sum of its proper divisors (177506418).

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

137113998 is a wasteful number, since it uses less digits than its factorization.

137113998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12688.

The product of its digits is 40824, while the sum is 42.

The square root of 137113998 is about 11709.5686513210. The cubic root of 137113998 is about 515.6566205916.

The spelling of 137113998 in words is "one hundred thirty-seven million, one hundred thirteen thousand, nine hundred ninety-eight".