137039760 has 300 divisors, whose sum is σ = 545186460. Its totient is φ = 30666240.

The previous prime is 137039717. The next prime is 137039767. The reversal of 137039760 is 67930731.

It can be written as a sum of positive squares in 2 ways, for example, as 33732864 + 103306896 = 5808^2 + 10164^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137039767) 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 59 ways as a sum of consecutive naturals, for example, 10541514 + ... + 10541526.

Almost surely, 2^137039760 is an apocalyptic number.

137039760 is a gapful number since it is divisible by the number (10) 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 137039760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272593230).

137039760 is an abundant number, since it is smaller than the sum of its proper divisors (408146700).

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

137039760 is a wasteful number, since it uses less digits than its factorization.

137039760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The square root of 137039760 is about 11706.3982505295. The cubic root of 137039760 is about 515.5635393411.

The spelling of 137039760 in words is "one hundred thirty-seven million, thirty-nine thousand, seven hundred sixty".