151304742100 has 288 divisors, whose sum is σ = 356102208000. Its totient is φ = 55703531520.

The previous prime is 151304742091. The next prime is 151304742203. The reversal of 151304742100 is 1247403151.

151304742100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1388116846 + ... + 1388116954.

It is an arithmetic number, because the mean of its divisors is an integer number (1236466000).

Almost surely, 2^151304742100 is an apocalyptic number.

151304742100 is a gapful number since it is divisible by the number (10) 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 151304742100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178051104000).

151304742100 is an abundant number, since it is smaller than the sum of its proper divisors (204797465900).

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

151304742100 is a wasteful number, since it uses less digits than its factorization.

151304742100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The spelling of 151304742100 in words is "one hundred fifty-one billion, three hundred four million, seven hundred forty-two thousand, one hundred".