2137506979100 has 36 divisors (see below), whose sum is σ = 4703719598928. Its totient is φ = 842960496000.

The previous prime is 2137506979043. The next prime is 2137506979109. The reversal of 2137506979100 is 19796057312.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137506979109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150521561 + ... + 150535760.

It is an arithmetic number, because the mean of its divisors is an integer number (130658877748).

Almost surely, 2^{2137506979100} is an apocalyptic number.

2137506979100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2137506979100 is an abundant number, since it is smaller than the sum of its proper divisors (2566212619828).

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

2137506979100 is a wasteful number, since it uses less digits than its factorization.

2137506979100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301057406 (or 301057399 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 50.

The spelling of 2137506979100 in words is "two trillion, one hundred thirty-seven billion, five hundred six million, nine hundred seventy-nine thousand, one hundred".