2137385520400 has 135 divisors (see below), whose sum is σ = 5561448073839. Its totient is φ = 789048149760.

The previous prime is 2137385520373. The next prime is 2137385520407. The reversal of 2137385520400 is 40255837312.

The square root of 2137385520400 is 1461980.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 550914279696 + 1586471240704 = 742236^2 + 1259552^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2137385520407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 380111989 + ... + 380117611.

Almost surely, 2^{2137385520400} is an apocalyptic number.

2137385520400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2137385520400 is the 1461980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2137385520400

2137385520400 is an abundant number, since it is smaller than the sum of its proper divisors (3424062553439).

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

2137385520400 is an frugal number, since it uses more digits than its factorization.

2137385520400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11290 (or 5643 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 2137385520400 in words is "two trillion, one hundred thirty-seven billion, three hundred eighty-five million, five hundred twenty thousand, four hundred".