152732348300 has 216 divisors, whose sum is σ = 399793786560. Its totient is φ = 50438169600.

The previous prime is 152732348297. The next prime is 152732348303. The reversal of 152732348300 is 3843237251.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (152732348297) and next prime (152732348303).

It is not an unprimeable number, because it can be changed into a prime (152732348303) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74033069 + ... + 74035131.

It is an arithmetic number, because the mean of its divisors is an integer number (1850897160).

Almost surely, 2^152732348300 is an apocalyptic number.

152732348300 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 152732348300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199896893280).

152732348300 is an abundant number, since it is smaller than the sum of its proper divisors (247061438260).

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

152732348300 is a wasteful number, since it uses less digits than its factorization.

152732348300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The spelling of 152732348300 in words is "one hundred fifty-two billion, seven hundred thirty-two million, three hundred forty-eight thousand, three hundred".