135482886400 has 243 divisors, whose sum is σ = 346559909241. Its totient is φ = 52438149120.

The previous prime is 135482886379. The next prime is 135482886419. The reversal of 135482886400 is 4688284531.

The square root of 135482886400 is 368080.

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

It can be written as a sum of positive squares in only one way, i.e., 48773839104 + 86709047296 = 220848^2 + 294464^2 .

It is a super-2 number, since 2×135482886400² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1266195147 + ... + 1266195253.

Almost surely, 2^135482886400 is an apocalyptic number.

135482886400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135482886400 is the 368080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135482886400

135482886400 is an abundant number, since it is smaller than the sum of its proper divisors (211077022841).

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

135482886400 is an frugal number, since it uses more digits than its factorization.

135482886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 49.

Multiplying 135482886400 by its sum of digits (49), we get a square (6638661433600 = 2576560²).

The spelling of 135482886400 in words is "one hundred thirty-five billion, four hundred eighty-two million, eight hundred eighty-six thousand, four hundred".