135048226400 has 72 divisors (see below), whose sum is σ = 340321593024. Its totient is φ = 52276723200.

The previous prime is 135048226343. The next prime is 135048226409. The reversal of 135048226400 is 4622840531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135048226409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2697947 + ... + 2747546.

It is an arithmetic number, because the mean of its divisors is an integer number (4726688792).

Almost surely, 2^135048226400 is an apocalyptic number.

135048226400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135048226400 is an abundant number, since it is smaller than the sum of its proper divisors (205273366624).

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

135048226400 is a wasteful number, since it uses less digits than its factorization.

135048226400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5445544 (or 5445531 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 135048226400 in words is "one hundred thirty-five billion, forty-eight million, two hundred twenty-six thousand, four hundred".