135308578000 has 80 divisors (see below), whose sum is σ = 328480850880. Its totient is φ = 53907600000.

The previous prime is 135308577931. The next prime is 135308578021. The reversal of 135308578000 is 875803531.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×135308578000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 367231 + ... + 636769.

It is an arithmetic number, because the mean of its divisors is an integer number (4106010636).

Almost surely, 2^135308578000 is an apocalyptic number.

135308578000 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 135308578000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164240425440).

135308578000 is an abundant number, since it is smaller than the sum of its proper divisors (193172272880).

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

135308578000 is a wasteful number, since it uses less digits than its factorization.

135308578000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269813 (or 269797 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 135308578000 in words is "one hundred thirty-five billion, three hundred eight million, five hundred seventy-eight thousand".