137291940 has 72 divisors (see below), whose sum is σ = 417613560. Its totient is φ = 36509184.

The previous prime is 137291933. The next prime is 137291969. The reversal of 137291940 is 49192731.

It can be written as a sum of positive squares in 4 ways, for example, as 36650916 + 100641024 = 6054^2 + 10032^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 137291895 and 137291904.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81426 + ... + 83094.

Almost surely, 2^137291940 is an apocalyptic number.

137291940 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 137291940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208806780).

137291940 is an abundant number, since it is smaller than the sum of its proper divisors (280321620).

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

137291940 is a wasteful number, since it uses less digits than its factorization.

137291940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2141 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 137291940 is about 11717.1643327215. The cubic root of 137291940 is about 515.8795915191.

The spelling of 137291940 in words is "one hundred thirty-seven million, two hundred ninety-one thousand, nine hundred forty".