137035080 has 384 divisors, whose sum is σ = 566092800. Its totient is φ = 27979776.

The previous prime is 137035069. The next prime is 137035091. The reversal of 137035080 is 80530731.

It is an interprime number because it is at equal distance from previous prime (137035069) and next prime (137035091).

It is a super-2 number, since 2×137035080² = 37557226301212800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1539676 + ... + 1539764.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 2^137035080 is an apocalyptic number.

137035080 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 137035080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283046400).

137035080 is an abundant number, since it is smaller than the sum of its proper divisors (429057720).

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

137035080 is a wasteful number, since it uses less digits than its factorization.

137035080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 137035080 is about 11706.1983581349. The cubic root of 137035080 is about 515.5576703270.

The spelling of 137035080 in words is "one hundred thirty-seven million, thirty-five thousand, eighty".