135148245840 has 120 divisors (see below), whose sum is σ = 453940086600. Its totient is φ = 36034194432.

The previous prime is 135148245833. The next prime is 135148245853. The reversal of 135148245840 is 48542841531.

135148245840 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 48 + 24 + 584 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 58693783824 + 76454462016 = 242268^2 + 276504^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8307154 + ... + 8323406.

It is an arithmetic number, because the mean of its divisors is an integer number (3782834055).

Almost surely, 2^135148245840 is an apocalyptic number.

135148245840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135148245840 is an abundant number, since it is smaller than the sum of its proper divisors (318791840760).

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

135148245840 is a wasteful number, since it uses less digits than its factorization.

135148245840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27821 (or 27812 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 135148245840 in words is "one hundred thirty-five billion, one hundred forty-eight million, two hundred forty-five thousand, eight hundred forty".