135150243472000 has 128 divisors (see below), whose sum is σ = 337411565084880. Its totient is φ = 53835780096000.

The previous prime is 135150243471989. The next prime is 135150243472043. The reversal of 135150243472000 is 274342051531.

It can be written as a sum of positive squares in 8 ways, for example, as 20957424773184 + 114192818698816 = 4577928^2 + 10686104^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×135150243472000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13668669 + ... + 21380668.

Almost surely, 2^{135150243472000} is an apocalyptic number.

135150243472000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135150243472000 is an abundant number, since it is smaller than the sum of its proper divisors (202261321612880).

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

135150243472000 is an equidigital number, since it uses as much as digits as its factorization.

135150243472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35049607 (or 35049585 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

The spelling of 135150243472000 in words is "one hundred thirty-five trillion, one hundred fifty billion, two hundred forty-three million, four hundred seventy-two thousand".