137638340 has 24 divisors (see below), whose sum is σ = 330332352. Its totient is φ = 47190240.

The previous prime is 137638309. The next prime is 137638343. The reversal of 137638340 is 43836731.

It is a happy number.

It is a super-3 number, since 3×137638340³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 137638340.

It is not an unprimeable number, because it can be changed into a prime (137638343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 491426 + ... + 491705.

It is an arithmetic number, because the mean of its divisors is an integer number (13763848).

Almost surely, 2^137638340 is an apocalyptic number.

137638340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137638340 is an abundant number, since it is smaller than the sum of its proper divisors (192694012).

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

137638340 is a wasteful number, since it uses less digits than its factorization.

137638340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983147 (or 983145 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 137638340 is about 11731.9367540061. The cubic root of 137638340 is about 516.3130974436.

The spelling of 137638340 in words is "one hundred thirty-seven million, six hundred thirty-eight thousand, three hundred forty".