147372400 has 180 divisors, whose sum is σ = 421563792. Its totient is φ = 49351680.

The previous prime is 147372397. The next prime is 147372427. The reversal of 147372400 is 4273741.

147372400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1430749 + ... + 1430851.

Almost surely, 2^147372400 is an apocalyptic number.

147372400 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 147372400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210781896).

147372400 is an abundant number, since it is smaller than the sum of its proper divisors (274191392).

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

147372400 is a wasteful number, since it uses less digits than its factorization.

147372400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 147372400 is about 12139.7034560157. The cubic root of 147372400 is about 528.2084996880.

The spelling of 147372400 in words is "one hundred forty-seven million, three hundred seventy-two thousand, four hundred".