151881400 has 192 divisors, whose sum is σ = 424258560. Its totient is φ = 49920000.

The previous prime is 151881361. The next prime is 151881403. The reversal of 151881400 is 4188151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151881403) 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, 1159335 + ... + 1159465.

It is an arithmetic number, because the mean of its divisors is an integer number (2209680).

Almost surely, 2^151881400 is an apocalyptic number.

151881400 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 151881400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212129280).

151881400 is an abundant number, since it is smaller than the sum of its proper divisors (272377160).

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

151881400 is a wasteful number, since it uses less digits than its factorization.

151881400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 28.

The square root of 151881400 is about 12324.0172021951. The cubic root of 151881400 is about 533.5414899278.

The spelling of 151881400 in words is "one hundred fifty-one million, eight hundred eighty-one thousand, four hundred".