207137242645200 has 1920 divisors, whose sum is σ = 870397719552000. Its totient is φ = 46384477009920.

The previous prime is 207137242645189. The next prime is 207137242645231. The reversal of 207137242645200 is 2546242731702.

207137242645200 is a `hidden beast` number, since 2 + 0 + 7 + 13 + 7 + 2 + 426 + 4 + 5 + 200 = 666.

It is a super-2 number, since 2×207137242645200² (a number of 29 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 129703970802 + ... + 129703972398.

It is an arithmetic number, because the mean of its divisors is an integer number (453332145600).

Almost surely, 2^{207137242645200} is an apocalyptic number.

207137242645200 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 207137242645200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435198859776000).

207137242645200 is an abundant number, since it is smaller than the sum of its proper divisors (663260476906800).

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

207137242645200 is a wasteful number, since it uses less digits than its factorization.

207137242645200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 207137242645200 in words is "two hundred seven trillion, one hundred thirty-seven billion, two hundred forty-two million, six hundred forty-five thousand, two hundred".