135533015040 has 208 divisors, whose sum is σ = 437966348256. Its totient is φ = 35782656000.

The previous prime is 135533015029. The next prime is 135533015053. The reversal of 135533015040 is 40510335531.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 135533014989 and 135533015007.

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, 6194520 + ... + 6216360.

Almost surely, 2^135533015040 is an apocalyptic number.

135533015040 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 135533015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218983174128).

135533015040 is an abundant number, since it is smaller than the sum of its proper divisors (302433333216).

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

135533015040 is a wasteful number, since it uses less digits than its factorization.

135533015040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21974 (or 21952 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

The spelling of 135533015040 in words is "one hundred thirty-five billion, five hundred thirty-three million, fifteen thousand, forty".