20137173951300 has 432 divisors, whose sum is σ = 67979169054720. Its totient is φ = 4589007816960.

The previous prime is 20137173951287. The next prime is 20137173951317. The reversal of 20137173951300 is 315937173102.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11448079821 + ... + 11448081579.

Almost surely, 2^{20137173951300} is an apocalyptic number.

20137173951300 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 20137173951300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33989584527360).

20137173951300 is an abundant number, since it is smaller than the sum of its proper divisors (47841995103420).

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

20137173951300 is a wasteful number, since it uses less digits than its factorization.

20137173951300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3680 (or 3666 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 42.

The spelling of 20137173951300 in words is "twenty trillion, one hundred thirty-seven billion, one hundred seventy-three million, nine hundred fifty-one thousand, three hundred".