135748657152 has 168 divisors, whose sum is σ = 392788650540. Its totient is φ = 45174620160.

The previous prime is 135748657151. The next prime is 135748657153. The reversal of 135748657152 is 251756847531.

135748657152 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 486 + 5 + 7 + 152 = 666.

It is an interprime number because it is at equal distance from previous prime (135748657151) and next prime (135748657153).

It can be written as a sum of positive squares in 2 ways, for example, as 133499621376 + 2249035776 = 365376^2 + 47424^2 .

It is a super-2 number, since 2×135748657152² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135748657151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61119402 + ... + 61121622.

Almost surely, 2^135748657152 is an apocalyptic number.

135748657152 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 135748657152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196394325270).

135748657152 is an abundant number, since it is smaller than the sum of its proper divisors (257039993388).

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

135748657152 is an equidigital number, since it uses as much as digits as its factorization.

135748657152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3082 (or 3055 counting only the distinct ones).

The product of its digits is 7056000, while the sum is 54.

The spelling of 135748657152 in words is "one hundred thirty-five billion, seven hundred forty-eight million, six hundred fifty-seven thousand, one hundred fifty-two".