137954320 has 160 divisors (see below), whose sum is σ = 398331648. Its totient is φ = 43352064.

The previous prime is 137954291. The next prime is 137954359. The reversal of 137954320 is 23459731.

137954320 is digitally balanced in base 3, 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 (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409192 + ... + 409528.

Almost surely, 2^137954320 is an apocalyptic number.

137954320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137954320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199165824).

137954320 is an abundant number, since it is smaller than the sum of its proper divisors (260377328).

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

137954320 is a wasteful number, since it uses less digits than its factorization.

137954320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 137954320 is about 11745.3956936325. The cubic root of 137954320 is about 516.7079000506.

The spelling of 137954320 in words is "one hundred thirty-seven million, nine hundred fifty-four thousand, three hundred twenty".