137782451200000 has 336 divisors, whose sum is σ = 355525206680448. Its totient is φ = 53334835200000.

The previous prime is 137782451199893. The next prime is 137782451200001. The reversal of 137782451200000 is 2154287731.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137782451200001) 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 23 ways as a sum of consecutive naturals, for example, 793513192 + ... + 793686808.

It is an arithmetic number, because the mean of its divisors is an integer number (1058110734168).

Almost surely, 2^{137782451200000} is an apocalyptic number.

137782451200000 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 137782451200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177762603340224).

137782451200000 is an abundant number, since it is smaller than the sum of its proper divisors (217742755480448).

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

137782451200000 is an frugal number, since it uses more digits than its factorization.

137782451200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173699 (or 173655 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The spelling of 137782451200000 in words is "one hundred thirty-seven trillion, seven hundred eighty-two billion, four hundred fifty-one million, two hundred thousand".