137225793600 has 1029 divisors, whose sum is σ = 590636224237. Its totient is φ = 31365895680.

The previous prime is 137225793587. The next prime is 137225793611. The reversal of 137225793600 is 6397522731.

The square root of 137225793600 is 370440.

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

137225793600 is a `hidden beast` number, since 1 + 3 + 72 + 2 + 579 + 3 + 6 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 49401285696 + 87824507904 = 222264^2 + 296352^2 .

It is a tau number, because it is divible by the number of its divisors (1029).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

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 146 ways as a sum of consecutive naturals, for example, 19603684797 + ... + 19603684803.

Almost surely, 2^137225793600 is an apocalyptic number.

137225793600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137225793600 is the 370440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137225793600

137225793600 is an abundant number, since it is smaller than the sum of its proper divisors (453410430637).

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

137225793600 is an frugal number, since it uses more digits than its factorization.

137225793600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 137225793600 in words is "one hundred thirty-seven billion, two hundred twenty-five million, seven hundred ninety-three thousand, six hundred".