137425579200 has 2016 divisors, whose sum is σ = 660357734400. Its totient is φ = 26276659200.

The previous prime is 137425579189. The next prime is 137425579241. The reversal of 137425579200 is 2975524731.

It is a happy number.

137425579200 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 2 + 557 + 92 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 287 ways as a sum of consecutive naturals, for example, 690580701 + ... + 690580899.

It is an arithmetic number, because the mean of its divisors is an integer number (327558400).

Almost surely, 2^137425579200 is an apocalyptic number.

137425579200 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 137425579200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330178867200).

137425579200 is an abundant number, since it is smaller than the sum of its proper divisors (522932155200).

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

137425579200 is a wasteful number, since it uses less digits than its factorization.

137425579200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 137425579200 in words is "one hundred thirty-seven billion, four hundred twenty-five million, five hundred seventy-nine thousand, two hundred".