137285070400 has 189 divisors, whose sum is σ = 345832328019. Its totient is φ = 53639439360.

The previous prime is 137285070389. The next prime is 137285070407. The reversal of 137285070400 is 4070582731.

The square root of 137285070400 is 370520.

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

It can be written as a sum of positive squares in 4 ways, for example, as 16603868736 + 120681201664 = 128856^2 + 347392^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 137285070400.

It is not an unprimeable number, because it can be changed into a prime (137285070407) 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 26 ways as a sum of consecutive naturals, for example, 874427122 + ... + 874427278.

Almost surely, 2^137285070400 is an apocalyptic number.

137285070400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137285070400 is the 370520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137285070400

137285070400 is an abundant number, since it is smaller than the sum of its proper divisors (208547257619).

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

137285070400 is an frugal number, since it uses more digits than its factorization.

137285070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The spelling of 137285070400 in words is "one hundred thirty-seven billion, two hundred eighty-five million, seventy thousand, four hundred".