135153088290 has 384 divisors, whose sum is σ = 417938227200. Its totient is φ = 29964971520.

The previous prime is 135153088283. The next prime is 135153088331. The reversal of 135153088290 is 92880351531.

135153088290 is a `hidden beast` number, since 1 + 3 + 51 + 5 + 308 + 8 + 290 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49705551 + ... + 49708269.

It is an arithmetic number, because the mean of its divisors is an integer number (1088380800).

Almost surely, 2^135153088290 is an apocalyptic number.

135153088290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135153088290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208969113600).

135153088290 is an abundant number, since it is smaller than the sum of its proper divisors (282785138910).

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

135153088290 is a wasteful number, since it uses less digits than its factorization.

135153088290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862 (or 2859 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 135153088290 in words is "one hundred thirty-five billion, one hundred fifty-three million, eighty-eight thousand, two hundred ninety".