2137695350120 has 192 divisors, whose sum is σ = 5467375065600. Its totient is φ = 750888230400.

The previous prime is 2137695350099. The next prime is 2137695350149. The reversal of 2137695350120 is 210535967312.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83559491 + ... + 83585069.

It is an arithmetic number, because the mean of its divisors is an integer number (28475911800).

Almost surely, 2^{2137695350120} is an apocalyptic number.

2137695350120 is a gapful number since it is divisible by the number (20) 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 2137695350120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733687532800).

2137695350120 is an abundant number, since it is smaller than the sum of its proper divisors (3329679715480).

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

2137695350120 is a wasteful number, since it uses less digits than its factorization.

2137695350120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26200 (or 26185 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 44.

The spelling of 2137695350120 in words is "two trillion, one hundred thirty-seven billion, six hundred ninety-five million, three hundred fifty thousand, one hundred twenty".