137231640 has 384 divisors, whose sum is σ = 566092800. Its totient is φ = 28062720.

The previous prime is 137231609. The next prime is 137231651. The reversal of 137231640 is 46132731.

137231640 is a `hidden beast` number, since 13 + 7 + 2 + 3 + 1 + 640 = 666.

137231640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1932805 + ... + 1932875.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 2^137231640 is an apocalyptic number.

137231640 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 137231640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283046400).

137231640 is an abundant number, since it is smaller than the sum of its proper divisors (428861160).

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

137231640 is a wasteful number, since it uses less digits than its factorization.

137231640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 137231640 is about 11714.5909019479. The cubic root of 137231640 is about 515.8040539585.

The spelling of 137231640 in words is "one hundred thirty-seven million, two hundred thirty-one thousand, six hundred forty".