137255040 has 384 divisors, whose sum is σ = 537580800. Its totient is φ = 33067008.

The previous prime is 137255039. The next prime is 137255047. The reversal of 137255040 is 40552731.

It is a happy number.

137255040 is a `hidden beast` number, since 1 + 3 + 72 + 550 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 137254995 and 137255013.

It is not an unprimeable number, because it can be changed into a prime (137255047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2920297 + ... + 2920343.

It is an arithmetic number, because the mean of its divisors is an integer number (1399950).

Almost surely, 2^137255040 is an apocalyptic number.

137255040 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 137255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268790400).

137255040 is an abundant number, since it is smaller than the sum of its proper divisors (400325760).

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

137255040 is a wasteful number, since it uses less digits than its factorization.

137255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 137255040 is about 11715.5896138436. The cubic root of 137255040 is about 515.8333696685.

The spelling of 137255040 in words is "one hundred thirty-seven million, two hundred fifty-five thousand, forty".