137639040 has 512 divisors, whose sum is σ = 587520000. Its totient is φ = 27095040.

The previous prime is 137639027. The next prime is 137639053. The reversal of 137639040 is 40936731.

It is an interprime number because it is at equal distance from previous prime (137639027) and next prime (137639053).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 137638992 and 137639010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7244151 + ... + 7244169.

It is an arithmetic number, because the mean of its divisors is an integer number (1147500).

Almost surely, 2^137639040 is an apocalyptic number.

137639040 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 137639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293760000).

137639040 is an abundant number, since it is smaller than the sum of its proper divisors (449880960).

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

137639040 is a wasteful number, since it uses less digits than its factorization.

137639040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 137639040 is about 11731.9665870646. The cubic root of 137639040 is about 516.3139727292.

The spelling of 137639040 in words is "one hundred thirty-seven million, six hundred thirty-nine thousand, forty".