135151563624 has 192 divisors, whose sum is σ = 429044636160. Its totient is φ = 35082149760.

The previous prime is 135151563623. The next prime is 135151563649. The reversal of 135151563624 is 426365151531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (135151563623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34239619 + ... + 34243565.

It is an arithmetic number, because the mean of its divisors is an integer number (2234607480).

Almost surely, 2^135151563624 is an apocalyptic number.

135151563624 is a gapful number since it is divisible by the number (14) 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 135151563624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214522318080).

135151563624 is an abundant number, since it is smaller than the sum of its proper divisors (293893072536).

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

135151563624 is a wasteful number, since it uses less digits than its factorization.

135151563624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6628 (or 6617 counting only the distinct ones).

The product of its digits is 324000, while the sum is 42.

The spelling of 135151563624 in words is "one hundred thirty-five billion, one hundred fifty-one million, five hundred sixty-three thousand, six hundred twenty-four".