137215540 has 48 divisors (see below), whose sum is σ = 359259264. Its totient is φ = 42768000.

The previous prime is 137215489. The next prime is 137215541. The reversal of 137215540 is 45512731.

It is a happy number.

137215540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 137215499 and 137215508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137215541) 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, 43011 + ... + 46090.

It is an arithmetic number, because the mean of its divisors is an integer number (7484568).

Almost surely, 2^137215540 is an apocalyptic number.

137215540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137215540 is an abundant number, since it is smaller than the sum of its proper divisors (222043724).

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

137215540 is a wasteful number, since it uses less digits than its factorization.

137215540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89128 (or 89126 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 137215540 is about 11713.9037045726. The cubic root of 137215540 is about 515.7838818124.

The spelling of 137215540 in words is "one hundred thirty-seven million, two hundred fifteen thousand, five hundred forty".