137002320 has 640 divisors, whose sum is σ = 629959680. Its totient is φ = 26542080.

The previous prime is 137002319. The next prime is 137002357. The reversal of 137002320 is 23200731.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 137002293 and 137002302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3341500 + ... + 3341540.

It is an arithmetic number, because the mean of its divisors is an integer number (984312).

Almost surely, 2^137002320 is an apocalyptic number.

137002320 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 137002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314979840).

137002320 is an abundant number, since it is smaller than the sum of its proper divisors (492957360).

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

137002320 is a wasteful number, since it uses less digits than its factorization.

137002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 137002320 is about 11704.7990157884. The cubic root of 137002320 is about 515.5165834867.

The spelling of 137002320 in words is "one hundred thirty-seven million, two thousand, three hundred twenty".