2137006162746 has 128 divisors (see below), whose sum is σ = 5845758320640. Its totient is φ = 563513920704.

The previous prime is 2137006162727. The next prime is 2137006162829. The reversal of 2137006162746 is 6472616007312.

2137006162746 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 0 + 0 + 616 + 27 + 4 + 6 = 666.

It is a super-2 number, since 2×2137006162746² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33201231 + ... + 33265533.

It is an arithmetic number, because the mean of its divisors is an integer number (45669986880).

Almost surely, 2^{2137006162746} is an apocalyptic number.

2137006162746 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2137006162746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2922879160320).

2137006162746 is an abundant number, since it is smaller than the sum of its proper divisors (3708752157894).

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

2137006162746 is a wasteful number, since it uses less digits than its factorization.

2137006162746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71097 (or 71091 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 2137006162746 in words is "two trillion, one hundred thirty-seven billion, six million, one hundred sixty-two thousand, seven hundred forty-six".