147048000 has 224 divisors, whose sum is σ = 530644608. Its totient is φ = 35584000.

The previous prime is 147047981. The next prime is 147048037. The reversal of 147048000 is 840741.

It is a super-2 number, since 2×147048000² = 43246228608000000, 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263722 + ... + 264278.

Almost surely, 2^147048000 is an apocalyptic number.

147048000 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 147048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265322304).

147048000 is an abundant number, since it is smaller than the sum of its proper divisors (383596608).

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

147048000 is a wasteful number, since it uses less digits than its factorization.

147048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 578 counting only the distinct ones).

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

The square root of 147048000 is about 12126.3349780550. The cubic root of 147048000 is about 527.8206461537.

Adding to 147048000 its reverse (840741), we get a palindrome (147888741).

It can be divided in two parts, 1470 and 48000, that multiplied together give a square (70560000 = 8400²).

The spelling of 147048000 in words is "one hundred forty-seven million, forty-eight thousand".