137186886144 has 960 divisors, whose sum is σ = 505546500096. Its totient is φ = 31997952000.

The previous prime is 137186886131. The next prime is 137186886157. The reversal of 137186886144 is 441688681731.

It is an interprime number because it is at equal distance from previous prime (137186886131) and next prime (137186886157).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (6193152) is a multiple of the sum of its prime factors (189).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1932209629 + ... + 1932209699.

Almost surely, 2^137186886144 is an apocalyptic number.

137186886144 is a gapful number since it is divisible by the number (14) 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 137186886144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252773250048).

137186886144 is an abundant number, since it is smaller than the sum of its proper divisors (368359613952).

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

137186886144 is a wasteful number, since it uses less digits than its factorization.

137186886144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 142 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 57.

The spelling of 137186886144 in words is "one hundred thirty-seven billion, one hundred eighty-six million, eight hundred eighty-six thousand, one hundred forty-four".