151352100 has 216 divisors, whose sum is σ = 511842240. Its totient is φ = 37290240.

The previous prime is 151352099. The next prime is 151352101. The reversal of 151352100 is 1253151.

151352100 is a `hidden beast` number, since 1 + 513 + 52 + 100 = 666.

It is an interprime number because it is at equal distance from previous prime (151352099) and next prime (151352101).

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 (151352101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 906217 + ... + 906383.

It is an arithmetic number, because the mean of its divisors is an integer number (2369640).

Almost surely, 2^151352100 is an apocalyptic number.

151352100 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 151352100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255921120).

151352100 is an abundant number, since it is smaller than the sum of its proper divisors (360490140).

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

151352100 is a wasteful number, since it uses less digits than its factorization.

151352100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 151352100 is about 12302.5241312505. The cubic root of 151352100 is about 532.9209790076.

The spelling of 151352100 in words is "one hundred fifty-one million, three hundred fifty-two thousand, one hundred".