137355730 has 24 divisors (see below), whose sum is σ = 255490956. Its totient is φ = 53166240.

The previous prime is 137355703. The next prime is 137355739. The reversal of 137355730 is 37553731.

It is a happy number.

137355730 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 113060689 + 24295041 = 10633^2 + 4929^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (137355739) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2464 + ... + 16756.

Almost surely, 2^137355730 is an apocalyptic number.

137355730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137355730 is a deficient number, since it is larger than the sum of its proper divisors (118135226).

137355730 is a wasteful number, since it uses less digits than its factorization.

137355730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14362 (or 14331 counting only the distinct ones).

The product of its (nonzero) digits is 33075, while the sum is 34.

The square root of 137355730 is about 11719.8860915966. The cubic root of 137355730 is about 515.9594769170.

The spelling of 137355730 in words is "one hundred thirty-seven million, three hundred fifty-five thousand, seven hundred thirty".