135266526720 has 1200 divisors, whose sum is σ = 554617158480. Its totient is φ = 31317000192.

The previous prime is 135266526713. The next prime is 135266526727. The reversal of 135266526720 is 27625662531.

135266526720 is a `hidden beast` number, since 1 + 3 + 52 + 6 + 6 + 526 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (135266526713) and next prime (135266526727).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135266526727) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 973140411 + ... + 973140549.

Almost surely, 2^135266526720 is an apocalyptic number.

135266526720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135266526720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277308579240).

135266526720 is an abundant number, since it is smaller than the sum of its proper divisors (419350631760).

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

135266526720 is a wasteful number, since it uses less digits than its factorization.

135266526720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 135266526720 in words is "one hundred thirty-five billion, two hundred sixty-six million, five hundred twenty-six thousand, seven hundred twenty".