135874188511632 has 240 divisors, whose sum is σ = 386097608707200. Its totient is φ = 44598071162880.

The previous prime is 135874188511613. The next prime is 135874188511643. The reversal of 135874188511632 is 236115881478531.

135874188511632 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 7 + 4 + 1 + 88 + 511 + 6 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 135874188511632.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21841210282 + ... + 21841216502.

It is an arithmetic number, because the mean of its divisors is an integer number (1608740036280).

Almost surely, 2^{135874188511632} is an apocalyptic number.

135874188511632 is a gapful number since it is divisible by the number (12) 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 135874188511632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193048804353600).

135874188511632 is an abundant number, since it is smaller than the sum of its proper divisors (250223420195568).

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

135874188511632 is a wasteful number, since it uses less digits than its factorization.

135874188511632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9366 (or 9357 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 63.

The spelling of 135874188511632 in words is "one hundred thirty-five trillion, eight hundred seventy-four billion, one hundred eighty-eight million, five hundred eleven thousand, six hundred thirty-two".