137490840 has 96 divisors (see below), whose sum is σ = 470386800. Its totient is φ = 34732800.

The previous prime is 137490833. The next prime is 137490841. The reversal of 137490840 is 48094731.

It is a happy number.

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 = 137490795 and 137490804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137490841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3211 + ... + 16890.

Almost surely, 2^137490840 is an apocalyptic number.

137490840 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 137490840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235193400).

137490840 is an abundant number, since it is smaller than the sum of its proper divisors (332895960).

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

137490840 is a wasteful number, since it uses less digits than its factorization.

137490840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20137 (or 20130 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 137490840 is about 11725.6488093410. The cubic root of 137490840 is about 516.1285960363.

The spelling of 137490840 in words is "one hundred thirty-seven million, four hundred ninety thousand, eight hundred forty".