137376720 has 180 divisors, whose sum is σ = 500018220. Its totient is φ = 33785856.

The previous prime is 137376719. The next prime is 137376731. The reversal of 137376720 is 27673731.

It can be written as a sum of positive squares in 6 ways, for example, as 57881664 + 79495056 = 7608^2 + 8916^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121116 + ... + 122244.

It is an arithmetic number, because the mean of its divisors is an integer number (2777879).

Almost surely, 2^137376720 is an apocalyptic number.

137376720 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 137376720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250009110).

137376720 is an abundant number, since it is smaller than the sum of its proper divisors (362641500).

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

137376720 is a wasteful number, since it uses less digits than its factorization.

137376720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 36.

The square root of 137376720 is about 11720.7815439074. The cubic root of 137376720 is about 515.9857576743.

The spelling of 137376720 in words is "one hundred thirty-seven million, three hundred seventy-six thousand, seven hundred twenty".