137621790 has 48 divisors (see below), whose sum is σ = 362735568. Its totient is φ = 36194688.

The previous prime is 137621723. The next prime is 137621797. The reversal of 137621790 is 97126731.

It is a happy number.

137621790 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137621797) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3904 + ... + 17043.

It is an arithmetic number, because the mean of its divisors is an integer number (7556991).

Almost surely, 2^137621790 is an apocalyptic number.

137621790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137621790 is an abundant number, since it is smaller than the sum of its proper divisors (225113778).

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

137621790 is a wasteful number, since it uses less digits than its factorization.

137621790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21033 (or 21030 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 137621790 is about 11731.2313931659. The cubic root of 137621790 is about 516.2924023275.

The spelling of 137621790 in words is "one hundred thirty-seven million, six hundred twenty-one thousand, seven hundred ninety".