153538264144098 has 96 divisors (see below), whose sum is σ = 358066519050240. Its totient is φ = 47395638384480.

The previous prime is 153538264144061. The next prime is 153538264144099. The reversal of 153538264144098 is 890441462835351.

It is a happy number.

153538264144098 is a `hidden beast` number, since 1 + 5 + 3 + 53 + 82 + 6 + 414 + 4 + 0 + 98 = 666.

It is not an unprimeable number, because it can be changed into a prime (153538264144099) 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, 7147011 + ... + 18925017.

It is an arithmetic number, because the mean of its divisors is an integer number (3729859573440).

Almost surely, 2^{153538264144098} is an apocalyptic number.

153538264144098 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 153538264144098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179033259525120).

153538264144098 is an abundant number, since it is smaller than the sum of its proper divisors (204528254906142).

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

153538264144098 is a wasteful number, since it uses less digits than its factorization.

153538264144098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11778892 (or 11778889 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 153538264144098 in words is "one hundred fifty-three trillion, five hundred thirty-eight billion, two hundred sixty-four million, one hundred forty-four thousand, ninety-eight".