135627747840 has 960 divisors, whose sum is σ = 542507277312. Its totient is φ = 32248627200.

The previous prime is 135627747817. The next prime is 135627747851. The reversal of 135627747840 is 48747726531.

135627747840 is a `hidden beast` number, since 1 + 3 + 5 + 62 + 77 + 478 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 250697970 + ... + 250698510.

Almost surely, 2^135627747840 is an apocalyptic number.

135627747840 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 135627747840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271253638656).

135627747840 is an abundant number, since it is smaller than the sum of its proper divisors (406879529472).

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

135627747840 is an equidigital number, since it uses as much as digits as its factorization.

135627747840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 135627747840 in words is "one hundred thirty-five billion, six hundred twenty-seven million, seven hundred forty-seven thousand, eight hundred forty".