137320960 has 160 divisors (see below), whose sum is σ = 384975360. Its totient is φ = 46006272.

The previous prime is 137320921. The next prime is 137320969. The reversal of 137320960 is 69023731.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (137320969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1415632 + ... + 1415728.

It is an arithmetic number, because the mean of its divisors is an integer number (2406096).

Almost surely, 2^137320960 is an apocalyptic number.

137320960 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 137320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192487680).

137320960 is an abundant number, since it is smaller than the sum of its proper divisors (247654400).

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

137320960 is an frugal number, since it uses more digits than its factorization.

137320960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 31.

The square root of 137320960 is about 11718.4026215180. The cubic root of 137320960 is about 515.9159368696.

The spelling of 137320960 in words is "one hundred thirty-seven million, three hundred twenty thousand, nine hundred sixty".