137393140 has 24 divisors (see below), whose sum is σ = 290200680. Its totient is φ = 54638208.

The previous prime is 137393131. The next prime is 137393149. The reversal of 137393140 is 41393731.

It is an interprime number because it is at equal distance from previous prime (137393131) and next prime (137393149).

It can be written as a sum of positive squares in 4 ways, for example, as 71166096 + 66227044 = 8436^2 + 8138^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137393149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16395 + ... + 23314.

It is an arithmetic number, because the mean of its divisors is an integer number (12091695).

Almost surely, 2^137393140 is an apocalyptic number.

137393140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137393140 is an abundant number, since it is smaller than the sum of its proper divisors (152807540).

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

137393140 is a wasteful number, since it uses less digits than its factorization.

137393140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39891 (or 39889 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 31.

The square root of 137393140 is about 11721.4819882129. The cubic root of 137393140 is about 516.0063146474.

The spelling of 137393140 in words is "one hundred thirty-seven million, three hundred ninety-three thousand, one hundred forty".