147743904 has 288 divisors, whose sum is σ = 514805760. Its totient is φ = 36241920.

The previous prime is 147743887. The next prime is 147743909. The reversal of 147743904 is 409347741.

It is a super-2 number, since 2×147743904² = 43656522338322432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (147743909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1870137 + ... + 1870215.

It is an arithmetic number, because the mean of its divisors is an integer number (1787520).

Almost surely, 2^147743904 is an apocalyptic number.

147743904 is a gapful number since it is divisible by the number (14) 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 147743904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257402880).

147743904 is an abundant number, since it is smaller than the sum of its proper divisors (367061856).

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

147743904 is a wasteful number, since it uses less digits than its factorization.

147743904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 147743904 is about 12154.9950226234. The cubic root of 147743904 is about 528.6519723934.

The spelling of 147743904 in words is "one hundred forty-seven million, seven hundred forty-three thousand, nine hundred four".