135431671680 has 1024 divisors, whose sum is σ = 529296768000. Its totient is φ = 32606945280.

The previous prime is 135431671651. The next prime is 135431671681. The reversal of 135431671680 is 86176134531.

135431671680 is a `hidden beast` number, since 1 + 3 + 543 + 16 + 7 + 16 + 80 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135431671681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 748241190 + ... + 748241370.

It is an arithmetic number, because the mean of its divisors is an integer number (516891375).

Almost surely, 2^135431671680 is an apocalyptic number.

135431671680 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 135431671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264648384000).

135431671680 is an abundant number, since it is smaller than the sum of its proper divisors (393865096320).

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

135431671680 is a wasteful number, since it uses less digits than its factorization.

135431671680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 135431671680 in words is "one hundred thirty-five billion, four hundred thirty-one million, six hundred seventy-one thousand, six hundred eighty".