147004800 has 96 divisors (see below), whose sum is σ = 484228680. Its totient is φ = 39198720.

The previous prime is 147004757. The next prime is 147004807. The reversal of 147004800 is 8400741.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×147004800² = 43220822446080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147004807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1944 + ... + 17256.

Almost surely, 2^147004800 is an apocalyptic number.

147004800 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 147004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242114340).

147004800 is an abundant number, since it is smaller than the sum of its proper divisors (337223880).

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

147004800 is a wasteful number, since it uses less digits than its factorization.

147004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15340 (or 15323 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 147004800 is about 12124.5536000300. The cubic root of 147004800 is about 527.7689530893.

It can be divided in two parts, 14700 and 4800, that multiplied together give a square (70560000 = 8400²).

The spelling of 147004800 in words is "one hundred forty-seven million, four thousand, eight hundred".