137158740 has 36 divisors (see below), whose sum is σ = 416048724. Its totient is φ = 36575616.

The previous prime is 137158709. The next prime is 137158789. The reversal of 137158740 is 47851731.

137158740 is a `hidden beast` number, since 1 + 3 + 71 + 587 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29289744 + 107868996 = 5412^2 + 10386^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 137158695 and 137158704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 380817 + ... + 381176.

It is an arithmetic number, because the mean of its divisors is an integer number (11556909).

Almost surely, 2^137158740 is an apocalyptic number.

137158740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137158740 is an abundant number, since it is smaller than the sum of its proper divisors (278889984).

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

137158740 is a wasteful number, since it uses less digits than its factorization.

137158740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762008 (or 762003 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 137158740 is about 11711.4789843128. The cubic root of 137158740 is about 515.7127028779.

The spelling of 137158740 in words is "one hundred thirty-seven million, one hundred fifty-eight thousand, seven hundred forty".