137641363776 has 840 divisors, whose sum is σ = 507332284800. Its totient is φ = 36784710144.

The previous prime is 137641363763. The next prime is 137641363781. The reversal of 137641363776 is 677363146731.

137641363776 is a `hidden beast` number, since 137 + 6 + 4 + 136 + 377 + 6 = 666.

It is a super-3 number, since 3×137641363776³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1742295705 + ... + 1742295783.

Almost surely, 2^137641363776 is an apocalyptic number.

137641363776 is a gapful number since it is divisible by the number (16) 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 137641363776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253666142400).

137641363776 is an abundant number, since it is smaller than the sum of its proper divisors (369690921024).

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

137641363776 is an frugal number, since it uses more digits than its factorization.

137641363776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 110 counting only the distinct ones).

The product of its digits is 8001504, while the sum is 54.

The spelling of 137641363776 in words is "one hundred thirty-seven billion, six hundred forty-one million, three hundred sixty-three thousand, seven hundred seventy-six".