2137945138560 has 3072 divisors, whose sum is σ = 10090797004800. Its totient is φ = 422682624000.

The previous prime is 2137945138487. The next prime is 2137945138639. The reversal of 2137945138560 is 658315497312.

It is a happy number.

2137945138560 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 9 + 45 + 1 + 38 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2137945138497 and 2137945138506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 30111903325 + ... + 30111903395.

It is an arithmetic number, because the mean of its divisors is an integer number (3284764650).

It is a 1-persistent number, because it is pandigital, but 2⋅2137945138560 = 4275890277120 is not.

Almost surely, 2^{2137945138560} is an apocalyptic number.

2137945138560 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 2137945138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5045398502400).

2137945138560 is an abundant number, since it is smaller than the sum of its proper divisors (7952851866240).

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

2137945138560 is a wasteful number, since it uses less digits than its factorization.

2137945138560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 2137945138560 in words is "two trillion, one hundred thirty-seven billion, nine hundred forty-five million, one hundred thirty-eight thousand, five hundred sixty".