137242551852000 has 3840 divisors, whose sum is σ = 619507203194880. Its totient is φ = 29205163008000.

The previous prime is 137242551851941. The next prime is 137242551852001. The reversal of 137242551852000 is 258155242731.

137242551852000 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 42 + 551 + 8 + 52 + 0 + 0 + 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 not an unprimeable number, because it can be changed into a prime (137242551852001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 495460475862 + ... + 495460476138.

It is an arithmetic number, because the mean of its divisors is an integer number (161330000832).

Almost surely, 2^{137242551852000} is an apocalyptic number.

137242551852000 is a gapful number since it is divisible by the number (10) 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 137242551852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309753601597440).

137242551852000 is an abundant number, since it is smaller than the sum of its proper divisors (482264651342880).

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

137242551852000 is an frugal number, since it uses more digits than its factorization.

137242551852000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 137242551852000 in words is "one hundred thirty-seven trillion, two hundred forty-two billion, five hundred fifty-one million, eight hundred fifty-two thousand".