153076374828 has 120 divisors (see below), whose sum is σ = 431144073360. Its totient is φ = 47079688320.

The previous prime is 153076374827. The next prime is 153076374907. The reversal of 153076374828 is 828473670351.

It is a happy number.

153076374828 is a `hidden beast` number, since 1 + 530 + 7 + 63 + 7 + 48 + 2 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (153076374827) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11538463 + ... + 11551721.

It is an arithmetic number, because the mean of its divisors is an integer number (3592867278).

Almost surely, 2^153076374828 is an apocalyptic number.

153076374828 is a gapful number since it is divisible by the number (18) 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 153076374828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215572036680).

153076374828 is an abundant number, since it is smaller than the sum of its proper divisors (278067698532).

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

153076374828 is a wasteful number, since it uses less digits than its factorization.

153076374828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16029 (or 16018 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 153076374828 in words is "one hundred fifty-three billion, seventy-six million, three hundred seventy-four thousand, eight hundred twenty-eight".