151413300 has 252 divisors, whose sum is σ = 516105856. Its totient is φ = 38491200.

The previous prime is 151413289. The next prime is 151413307. The reversal of 151413300 is 3314151.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151413307) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2259867 + ... + 2259933.

Almost surely, 2^151413300 is an apocalyptic number.

151413300 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 151413300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258052928).

151413300 is an abundant number, since it is smaller than the sum of its proper divisors (364692556).

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

151413300 is a wasteful number, since it uses less digits than its factorization.

151413300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 108 counting only the distinct ones).

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

The square root of 151413300 is about 12305.0111743143. The cubic root of 151413300 is about 532.9927991077.

Adding to 151413300 its reverse (3314151), we get a palindrome (154727451).

The spelling of 151413300 in words is "one hundred fifty-one million, four hundred thirteen thousand, three hundred".