135533778240 has 448 divisors, whose sum is σ = 511142284800. Its totient is φ = 29770481664.

The previous prime is 135533778181. The next prime is 135533778299. The reversal of 135533778240 is 42877335531.

It is an interprime number because it is at equal distance from previous prime (135533778181) and next prime (135533778299).

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a self number, because there is not a number n which added to its sum of digits gives 135533778240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44626002 + ... + 44629038.

It is an arithmetic number, because the mean of its divisors is an integer number (1140942600).

Almost surely, 2^135533778240 is an apocalyptic number.

135533778240 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 135533778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255571142400).

135533778240 is an abundant number, since it is smaller than the sum of its proper divisors (375608506560).

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

135533778240 is a wasteful number, since it uses less digits than its factorization.

135533778240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3322 (or 3312 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 48.

The spelling of 135533778240 in words is "one hundred thirty-five billion, five hundred thirty-three million, seven hundred seventy-eight thousand, two hundred forty".