137880093 has 64 divisors (see below), whose sum is σ = 220631040. Its totient is φ = 75831552.

The previous prime is 137880079. The next prime is 137880097. The reversal of 137880093 is 390088731.

137880093 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137880093 - 2⁸ = 137879837 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137880097) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1288546 + ... + 1288652.

It is an arithmetic number, because the mean of its divisors is an integer number (3447360).

Almost surely, 2^137880093 is an apocalyptic number.

137880093 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

137880093 is a deficient number, since it is larger than the sum of its proper divisors (82750947).

137880093 is a wasteful number, since it uses less digits than its factorization.

137880093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226.

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 137880093 is about 11742.2354345329. The cubic root of 137880093 is about 516.6152110162.

The spelling of 137880093 in words is "one hundred thirty-seven million, eight hundred eighty thousand, ninety-three".