2137009029120 has 1296 divisors, whose sum is σ = 8915613452928. Its totient is φ = 481579499520.

The previous prime is 2137009029017. The next prime is 2137009029137. The reversal of 2137009029120 is 219209007312.

2137009029120 is a `hidden beast` number, since 213 + 70 + 0 + 90 + 291 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30098718685 + ... + 30098718755.

It is an arithmetic number, because the mean of its divisors is an integer number (6879331368).

Almost surely, 2^{2137009029120} is an apocalyptic number.

2137009029120 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 2137009029120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4457806726464).

2137009029120 is an abundant number, since it is smaller than the sum of its proper divisors (6778604423808).

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

2137009029120 is an frugal number, since it uses more digits than its factorization.

2137009029120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 2137009029120 in words is "two trillion, one hundred thirty-seven billion, nine million, twenty-nine thousand, one hundred twenty".