137399355 has 128 divisors (see below), whose sum is σ = 286156800. Its totient is φ = 62042112.

The previous prime is 137399333. The next prime is 137399369. The reversal of 137399355 is 553993731.

It is not a de Polignac number, because 137399355 - 2⁶ = 137399291 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 137399355.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1002847 + ... + 1002983.

It is an arithmetic number, because the mean of its divisors is an integer number (2235600).

Almost surely, 2^137399355 is an apocalyptic number.

137399355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

137399355 is an abundant number, since it is smaller than the sum of its proper divisors (148757445).

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

137399355 is a wasteful number, since it uses less digits than its factorization.

137399355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 204 counting only the distinct ones).

The product of its digits is 382725, while the sum is 45.

The square root of 137399355 is about 11721.7470967429. The cubic root of 137399355 is about 516.0140950720.

The spelling of 137399355 in words is "one hundred thirty-seven million, three hundred ninety-nine thousand, three hundred fifty-five".