2137567661172 has 120 divisors (see below), whose sum is σ = 5607179978400. Its totient is φ = 710083226304.

The previous prime is 2137567661153. The next prime is 2137567661189. The reversal of 2137567661172 is 2711667657312.

2137567661172 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 567 + 6 + 6 + 1 + 1 + 72 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 161697579 + ... + 161710797.

It is an arithmetic number, because the mean of its divisors is an integer number (46726499820).

Almost surely, 2^{2137567661172} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2137567661172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803589989200).

2137567661172 is an abundant number, since it is smaller than the sum of its proper divisors (3469612317228).

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

2137567661172 is a wasteful number, since it uses less digits than its factorization.

2137567661172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14907 (or 14896 counting only the distinct ones).

The product of its digits is 4445280, while the sum is 54.

The spelling of 2137567661172 in words is "two trillion, one hundred thirty-seven billion, five hundred sixty-seven million, six hundred sixty-one thousand, one hundred seventy-two".