135003153010124 has 384 divisors, whose sum is σ = 316394015293440. Its totient is φ = 48973703860224.

The previous prime is 135003153010123. The next prime is 135003153010127. The reversal of 135003153010124 is 421010351300531.

It is not an unprimeable number, because it can be changed into a prime (135003153010123) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35499118007 + ... + 35499121809.

It is an arithmetic number, because the mean of its divisors is an integer number (823942748160).

Almost surely, 2^{135003153010124} is an apocalyptic number.

135003153010124 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 135003153010124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158197007646720).

135003153010124 is an abundant number, since it is smaller than the sum of its proper divisors (181390862283316).

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

135003153010124 is a wasteful number, since it uses less digits than its factorization.

135003153010124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5117 (or 5115 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The spelling of 135003153010124 in words is "one hundred thirty-five trillion, three billion, one hundred fifty-three million, ten thousand, one hundred twenty-four".