137506440 has 64 divisors (see below), whose sum is σ = 413424000. Its totient is φ = 36588032.

The previous prime is 137506427. The next prime is 137506441. The reversal of 137506440 is 44605731.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 137506398 and 137506407.

It is not an unprimeable number, because it can be changed into a prime (137506441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70924 + ... + 72836.

It is an arithmetic number, because the mean of its divisors is an integer number (6459750).

Almost surely, 2^137506440 is an apocalyptic number.

137506440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137506440 is an abundant number, since it is smaller than the sum of its proper divisors (275917560).

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

137506440 is a wasteful number, since it uses less digits than its factorization.

137506440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2526 (or 2522 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 137506440 is about 11726.3139988660. The cubic root of 137506440 is about 516.1481156435.

The spelling of 137506440 in words is "one hundred thirty-seven million, five hundred six thousand, four hundred forty".