147241800 has 240 divisors, whose sum is σ = 523264500. Its totient is φ = 38361600.

The previous prime is 147241793. The next prime is 147241807. The reversal of 147241800 is 8142741.

It is an interprime number because it is at equal distance from previous prime (147241793) and next prime (147241807).

It can be written as a sum of positive squares in 6 ways, for example, as 2232036 + 145009764 = 1494^2 + 12042^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (147241807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 988126 + ... + 988274.

Almost surely, 2^147241800 is an apocalyptic number.

147241800 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 147241800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261632250).

147241800 is an abundant number, since it is smaller than the sum of its proper divisors (376022700).

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

147241800 is a wasteful number, since it uses less digits than its factorization.

147241800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 147241800 is about 12134.3232196938. The cubic root of 147241800 is about 528.0524224810.

The spelling of 147241800 in words is "one hundred forty-seven million, two hundred forty-one thousand, eight hundred".