137233661376 has 112 divisors (see below), whose sum is σ = 415571797760. Its totient is φ = 39152609280.

The previous prime is 137233661363. The next prime is 137233661387. The reversal of 137233661376 is 673166332731.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 854820 + ... + 1002588.

It is an arithmetic number, because the mean of its divisors is an integer number (3710462480).

Almost surely, 2^137233661376 is an apocalyptic number.

137233661376 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 137233661376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207785898880).

137233661376 is an abundant number, since it is smaller than the sum of its proper divisors (278338136384).

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

137233661376 is a wasteful number, since it uses less digits than its factorization.

137233661376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148482 (or 148472 counting only the distinct ones).

The product of its digits is 1714608, while the sum is 48.

The spelling of 137233661376 in words is "one hundred thirty-seven billion, two hundred thirty-three million, six hundred sixty-one thousand, three hundred seventy-six".