137201940 has 36 divisors (see below), whose sum is σ = 416179764. Its totient is φ = 36587136.

The previous prime is 137201893. The next prime is 137201959. The reversal of 137201940 is 49102731.

It can be written as a sum of positive squares in 2 ways, for example, as 104162436 + 33039504 = 10206^2 + 5748^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 380937 + ... + 381296.

It is an arithmetic number, because the mean of its divisors is an integer number (11560549).

Almost surely, 2^137201940 is an apocalyptic number.

137201940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137201940 is an abundant number, since it is smaller than the sum of its proper divisors (278977824).

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

137201940 is a wasteful number, since it uses less digits than its factorization.

137201940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762248 (or 762243 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 137201940 is about 11713.3231834523. The cubic root of 137201940 is about 515.7668407578.

The spelling of 137201940 in words is "one hundred thirty-seven million, two hundred one thousand, nine hundred forty".