135187847040 has 256 divisors, whose sum is σ = 450876948480. Its totient is φ = 34388361216.

The previous prime is 135187847029. The next prime is 135187847059. The reversal of 135187847040 is 40748781531.

It is a Cunningham number, because it is equal to 367679²-1.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16909284 + ... + 16917276.

It is an arithmetic number, because the mean of its divisors is an integer number (1761238080).

Almost surely, 2^135187847040 is an apocalyptic number.

135187847040 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 135187847040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225438474240).

135187847040 is an abundant number, since it is smaller than the sum of its proper divisors (315689101440).

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

135187847040 is a wasteful number, since it uses less digits than its factorization.

135187847040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8421 (or 8409 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 135187847040 in words is "one hundred thirty-five billion, one hundred eighty-seven million, eight hundred forty-seven thousand, forty".