137199640 has 32 divisors (see below), whose sum is σ = 309238560. Its totient is φ = 54784000.

The previous prime is 137199617. The next prime is 137199649. The reversal of 137199640 is 46991731.

It is a super-2 number, since 2×137199640² = 37647482432259200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 137199593 and 137199602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137199649) 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, 22965 + ... + 28315.

It is an arithmetic number, because the mean of its divisors is an integer number (9663705).

Almost surely, 2^137199640 is an apocalyptic number.

137199640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137199640 is an abundant number, since it is smaller than the sum of its proper divisors (172038920).

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

137199640 is a wasteful number, since it uses less digits than its factorization.

137199640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6003 (or 5999 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 40.

The square root of 137199640 is about 11713.2250042420. The cubic root of 137199640 is about 515.7639587034.

The spelling of 137199640 in words is "one hundred thirty-seven million, one hundred ninety-nine thousand, six hundred forty".