137922720 has 288 divisors, whose sum is σ = 504475776. Its totient is φ = 31426560.

The previous prime is 137922713. The next prime is 137922727. The reversal of 137922720 is 27229731.

It is an interprime number because it is at equal distance from previous prime (137922713) and next prime (137922727).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137922727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4449105 + ... + 4449135.

It is an arithmetic number, because the mean of its divisors is an integer number (1751652).

Almost surely, 2^137922720 is an apocalyptic number.

137922720 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 137922720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252237888).

137922720 is an abundant number, since it is smaller than the sum of its proper divisors (366553056).

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

137922720 is a wasteful number, since it uses less digits than its factorization.

137922720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 137922720 is about 11744.0504086112. The cubic root of 137922720 is about 516.6684444383.

The spelling of 137922720 in words is "one hundred thirty-seven million, nine hundred twenty-two thousand, seven hundred twenty".