137161140 has 48 divisors (see below), whose sum is σ = 384599040. Its totient is φ = 36524160.

The previous prime is 137161103. The next prime is 137161177. The reversal of 137161140 is 41161731.

It is an interprime number because it is at equal distance from previous prime (137161103) and next prime (137161177).

It is a super-3 number, since 3×137161140³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 137161140.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 60141 + ... + 62379.

It is an arithmetic number, because the mean of its divisors is an integer number (8012480).

Almost surely, 2^137161140 is an apocalyptic number.

137161140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137161140 is an abundant number, since it is smaller than the sum of its proper divisors (247437900).

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

137161140 is a wasteful number, since it uses less digits than its factorization.

137161140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3272 (or 3270 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 137161140 is about 11711.5814474391. The cubic root of 137161140 is about 515.7157108361.

The spelling of 137161140 in words is "one hundred thirty-seven million, one hundred sixty-one thousand, one hundred forty".