137306640 has 80 divisors (see below), whose sum is σ = 428240448. Its totient is φ = 36392448.

The previous prime is 137306633. The next prime is 137306641. The reversal of 137306640 is 46603731.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×137306640² = 37706226776179200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 137306598 and 137306607.

It is not an unprimeable number, because it can be changed into a prime (137306641) 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, 39867 + ... + 43173.

Almost surely, 2^137306640 is an apocalyptic number.

137306640 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 137306640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214120224).

137306640 is an abundant number, since it is smaller than the sum of its proper divisors (290933808).

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

137306640 is a wasteful number, since it uses less digits than its factorization.

137306640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3496 (or 3490 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 137306640 is about 11717.7916008094. The cubic root of 137306640 is about 515.8980027950.

The spelling of 137306640 in words is "one hundred thirty-seven million, three hundred six thousand, six hundred forty".