152034300 has 144 divisors (see below), whose sum is σ = 533299200. Its totient is φ = 36849600.

The previous prime is 152034299. The next prime is 152034313. The reversal of 152034300 is 3430251.

It is a super-2 number, since 2×152034300² = 46228856752980000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27141 + ... + 32259.

Almost surely, 2^152034300 is an apocalyptic number.

152034300 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 152034300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266649600).

152034300 is an abundant number, since it is smaller than the sum of its proper divisors (381264900).

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

152034300 is a wasteful number, since it uses less digits than its factorization.

152034300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5153 (or 5140 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 152034300 is about 12330.2189761577. The cubic root of 152034300 is about 533.7204697851.

Adding to 152034300 its reverse (3430251), we get a palindrome (155464551).

It can be divided in two parts, 15203 and 4300, that added together give a triangular number (19503 = T₁₉₇).

The spelling of 152034300 in words is "one hundred fifty-two million, thirty-four thousand, three hundred".