135088228800 has 1008 divisors, whose sum is σ = 599982170112. Its totient is φ = 28112486400.

The previous prime is 135088228789. The next prime is 135088228811. The reversal of 135088228800 is 8822880531.

It is an interprime number because it is at equal distance from previous prime (135088228789) and next prime (135088228811).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×135088228800² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 53120329 + ... + 53122871.

Almost surely, 2^135088228800 is an apocalyptic number.

135088228800 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 135088228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299991085056).

135088228800 is an abundant number, since it is smaller than the sum of its proper divisors (464893941312).

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

135088228800 is a wasteful number, since it uses less digits than its factorization.

135088228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2626 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 135088228800 in words is "one hundred thirty-five billion, eighty-eight million, two hundred twenty-eight thousand, eight hundred".