137700366400 has 63 divisors (see below), whose sum is σ = 338865491559. Its totient is φ = 55074209280.

The previous prime is 137700366389. The next prime is 137700366403. The reversal of 137700366400 is 4663007731.

The square root of 137700366400 is 371080.

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 5646620736 + 132053745664 = 75144^2 + 363392^2 .

It is a super-2 number, since 2×137700366400² (a number of 23 digits) contains 22 as substring.

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 137700366400.

It is not an unprimeable number, because it can be changed into a prime (137700366403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14838562 + ... + 14847838.

Almost surely, 2^137700366400 is an apocalyptic number.

137700366400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137700366400 is the 371080-th square number.

It is an amenable number.

137700366400 is an abundant number, since it is smaller than the sum of its proper divisors (201165125159).

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

137700366400 is an frugal number, since it uses more digits than its factorization.

137700366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18576 (or 9284 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 37.

It can be divided in two parts, 137700 and 366400, that added together give a square (504100 = 710²).

The spelling of 137700366400 in words is "one hundred thirty-seven billion, seven hundred million, three hundred sixty-six thousand, four hundred".