137408670 has 256 divisors, whose sum is σ = 456192000. Its totient is φ = 28740096.

The previous prime is 137408633. The next prime is 137408707. The reversal of 137408670 is 76804731.

It is an interprime number because it is at equal distance from previous prime (137408633) and next prime (137408707).

It is a super-2 number, since 2×137408670² = 37762285182337800, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1260576 + ... + 1260684.

It is an arithmetic number, because the mean of its divisors is an integer number (1782000).

Almost surely, 2^137408670 is an apocalyptic number.

137408670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137408670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228096000).

137408670 is an abundant number, since it is smaller than the sum of its proper divisors (318783330).

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

137408670 is a wasteful number, since it uses less digits than its factorization.

137408670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 137408670 is about 11722.1444283885. The cubic root of 137408670 is about 516.0257558804.

The spelling of 137408670 in words is "one hundred thirty-seven million, four hundred eight thousand, six hundred seventy".