137301140 has 12 divisors (see below), whose sum is σ = 288332436. Its totient is φ = 54920448.

The previous prime is 137301133. The next prime is 137301161. The reversal of 137301140 is 41103731.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 95491984 + 41809156 = 9772^2 + 6466^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 6865057 = 137301140 / (1 + 3 + 7 + 3 + 0 + 1 + 1 + 4 + 0).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 3432509 + ... + 3432548.

It is an arithmetic number, because the mean of its divisors is an integer number (24027703).

Almost surely, 2^137301140 is an apocalyptic number.

137301140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137301140 is an abundant number, since it is smaller than the sum of its proper divisors (151031296).

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

137301140 is a wasteful number, since it uses less digits than its factorization.

137301140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6865066 (or 6865064 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 137301140 is about 11717.5569125991. The cubic root of 137301140 is about 515.8911143762.

Adding to 137301140 its reverse (41103731), we get a palindrome (178404871).

It can be divided in two parts, 1373011 and 40, that multiplied together give a triangular number (54920440 = T₁₀₄₈₀).

The spelling of 137301140 in words is "one hundred thirty-seven million, three hundred one thousand, one hundred forty".