2137133376 has 448 divisors, whose sum is σ = 8017459200. Its totient is φ = 543449088.

The previous prime is 2137133347. The next prime is 2137133377. The reversal of 2137133376 is 6733317312.

It is a happy number.

2137133376 is a `hidden beast` number, since 213 + 71 + 3 + 3 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2137133376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137133377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3906735 + ... + 3907281.

Almost surely, 2^2137133376 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 2137133376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4008729600).

2137133376 is an abundant number, since it is smaller than the sum of its proper divisors (5880325824).

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

2137133376 is a wasteful number, since it uses less digits than its factorization.

2137133376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 595 counting only the distinct ones).

The product of its digits is 47628, while the sum is 36.

The square root of 2137133376 is about 46229.1399011489. The cubic root of 2137133376 is about 1288.0830804272.

The spelling of 2137133376 in words is "two billion, one hundred thirty-seven million, one hundred thirty-three thousand, three hundred seventy-six".