20137142333880 has 2560 divisors, whose sum is σ = 87901264281600. Its totient is φ = 4057280409600.

The previous prime is 20137142333849. The next prime is 20137142333897. The reversal of 20137142333880 is 8833324173102.

It is a happy number.

20137142333880 is a `hidden beast` number, since 2 + 0 + 1 + 37 + 1 + 4 + 233 + 388 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 54869597457 + ... + 54869597823.

It is an arithmetic number, because the mean of its divisors is an integer number (34336431360).

Almost surely, 2^{20137142333880} is an apocalyptic number.

20137142333880 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 20137142333880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43950632140800).

20137142333880 is an abundant number, since it is smaller than the sum of its proper divisors (67764121947720).

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

20137142333880 is a wasteful number, since it uses less digits than its factorization.

20137142333880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 20137142333880 in words is "twenty trillion, one hundred thirty-seven billion, one hundred forty-two million, three hundred thirty-three thousand, eight hundred eighty".