137709440 has 128 divisors (see below), whose sum is σ = 371312640. Its totient is φ = 48384000.

The previous prime is 137709437. The next prime is 137709457. The reversal of 137709440 is 44907731.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×137709440² = 37927779730227200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 137709440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217925 + ... + 218555.

It is an arithmetic number, because the mean of its divisors is an integer number (2900880).

Almost surely, 2^137709440 is an apocalyptic number.

137709440 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 137709440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185656320).

137709440 is an abundant number, since it is smaller than the sum of its proper divisors (233603200).

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

137709440 is a wasteful number, since it uses less digits than its factorization.

137709440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 137709440 is about 11734.9665529988. The cubic root of 137709440 is about 516.4019862953.

The spelling of 137709440 in words is "one hundred thirty-seven million, seven hundred nine thousand, four hundred forty".