135447742080 has 1024 divisors, whose sum is σ = 585169920000. Its totient is φ = 28904325120.

The previous prime is 135447742057. The next prime is 135447742103. The reversal of 135447742080 is 80247744531.

135447742080 is a `hidden beast` number, since 1 + 3 + 544 + 7 + 7 + 4 + 20 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (135447742057) and next prime (135447742103).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 409207515 + ... + 409207845.

It is an arithmetic number, because the mean of its divisors is an integer number (571455000).

Almost surely, 2^135447742080 is an apocalyptic number.

135447742080 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 135447742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292584960000).

135447742080 is an abundant number, since it is smaller than the sum of its proper divisors (449722177920).

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

135447742080 is a wasteful number, since it uses less digits than its factorization.

135447742080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 135447742080 in words is "one hundred thirty-five billion, four hundred forty-seven million, seven hundred forty-two thousand, eighty".