137398416 has 40 divisors (see below), whose sum is σ = 363205920. Its totient is φ = 44733696.

The previous prime is 137398409. The next prime is 137398451. The reversal of 137398416 is 614893731.

It is a super-4 number, since 4×137398416⁴ (a number of 34 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31221 + ... + 35348.

It is an arithmetic number, because the mean of its divisors is an integer number (9080148).

Almost surely, 2^137398416 is an apocalyptic number.

137398416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137398416 is an abundant number, since it is smaller than the sum of its proper divisors (225807504).

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

137398416 is a wasteful number, since it uses less digits than its factorization.

137398416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66623 (or 66617 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 137398416 is about 11721.7070429183. The cubic root of 137398416 is about 516.0129195732.

It can be divided in two parts, 13739 and 8416, that added together give a triangular number (22155 = T₂₁₀).

The spelling of 137398416 in words is "one hundred thirty-seven million, three hundred ninety-eight thousand, four hundred sixteen".