151433100 has 324 divisors, whose sum is σ = 598097136. Its totient is φ = 31207680.

The previous prime is 151433089. The next prime is 151433101. The reversal of 151433100 is 1334151.

It is a super-2 number, since 2×151433100² = 45863967551220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (151433101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3521679 + ... + 3521721.

Almost surely, 2^151433100 is an apocalyptic number.

151433100 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 151433100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299048568).

151433100 is an abundant number, since it is smaller than the sum of its proper divisors (446664036).

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

151433100 is a wasteful number, since it uses less digits than its factorization.

151433100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 151433100 is about 12305.8156982786. The cubic root of 151433100 is about 533.0160308789.

Adding to 151433100 its reverse (1334151), we get a palindrome (152767251).

The spelling of 151433100 in words is "one hundred fifty-one million, four hundred thirty-three thousand, one hundred".