137378320 has 20 divisors (see below), whose sum is σ = 319404780. Its totient is φ = 54951296.

The previous prime is 137378291. The next prime is 137378347. The reversal of 137378320 is 23873731.

It can be written as a sum of positive squares in 2 ways, for example, as 78641424 + 58736896 = 8868^2 + 7664^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 858535 + ... + 858694.

It is an arithmetic number, because the mean of its divisors is an integer number (15970239).

Almost surely, 2^137378320 is an apocalyptic number.

137378320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137378320 is an abundant number, since it is smaller than the sum of its proper divisors (182026460).

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

137378320 is a wasteful number, since it uses less digits than its factorization.

137378320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717242 (or 1717236 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The square root of 137378320 is about 11720.8497985428. The cubic root of 137378320 is about 515.9877608619.

The spelling of 137378320 in words is "one hundred thirty-seven million, three hundred seventy-eight thousand, three hundred twenty".