151828080 has 80 divisors (see below), whose sum is σ = 485873664. Its totient is φ = 39179520.

The previous prime is 151828073. The next prime is 151828081. The reversal of 151828080 is 80828151.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151828081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2764 + ... + 17643.

Almost surely, 2^151828080 is an apocalyptic number.

151828080 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 151828080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242936832).

151828080 is an abundant number, since it is smaller than the sum of its proper divisors (334045584).

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

151828080 is a wasteful number, since it uses less digits than its factorization.

151828080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20454 (or 20448 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 33.

The square root of 151828080 is about 12321.8537566391. The cubic root of 151828080 is about 533.4790469910.

The spelling of 151828080 in words is "one hundred fifty-one million, eight hundred twenty-eight thousand, eighty".