137245141880 has 256 divisors, whose sum is σ = 429104563200. Its totient is φ = 38142074880.

The previous prime is 137245141841. The next prime is 137245141903. The reversal of 137245141880 is 88141542731.

It is a super-2 number, since 2×137245141880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 925862 + ... + 1063818.

It is an arithmetic number, because the mean of its divisors is an integer number (1676189700).

Almost surely, 2^137245141880 is an apocalyptic number.

137245141880 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 137245141880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214552281600).

137245141880 is an abundant number, since it is smaller than the sum of its proper divisors (291859421320).

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

137245141880 is a wasteful number, since it uses less digits than its factorization.

137245141880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138022 (or 138018 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 44.

The spelling of 137245141880 in words is "one hundred thirty-seven billion, two hundred forty-five million, one hundred forty-one thousand, eight hundred eighty".