137096960 has 288 divisors, whose sum is σ = 445036032. Its totient is φ = 39075840.

The previous prime is 137096929. The next prime is 137096969. The reversal of 137096960 is 69690731.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137096969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1281227 + ... + 1281333.

It is an arithmetic number, because the mean of its divisors is an integer number (1545264).

Almost surely, 2^137096960 is an apocalyptic number.

137096960 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 137096960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222518016).

137096960 is an abundant number, since it is smaller than the sum of its proper divisors (307939072).

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

137096960 is a wasteful number, since it uses less digits than its factorization.

137096960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 41.

The square root of 137096960 is about 11708.8411040547. The cubic root of 137096960 is about 515.6352609406.

The spelling of 137096960 in words is "one hundred thirty-seven million, ninety-six thousand, nine hundred sixty".