137905401160 has 32 divisors (see below), whose sum is σ = 310302590400. Its totient is φ = 55159416000.

The previous prime is 137905401143. The next prime is 137905401167. The reversal of 137905401160 is 61104509731.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (137905401167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 855901 + ... + 1004179.

It is an arithmetic number, because the mean of its divisors is an integer number (9696955950).

Almost surely, 2^137905401160 is an apocalyptic number.

137905401160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137905401160 is an abundant number, since it is smaller than the sum of its proper divisors (172397189240).

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

137905401160 is a wasteful number, since it uses less digits than its factorization.

137905401160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171541 (or 171537 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 37.

The spelling of 137905401160 in words is "one hundred thirty-seven billion, nine hundred five million, four hundred one thousand, one hundred sixty".