147248640 has 480 divisors, whose sum is σ = 643458816. Its totient is φ = 30228480.

The previous prime is 147248639. The next prime is 147248683. The reversal of 147248640 is 46842741.

147248640 is a `hidden beast` number, since 1 + 4 + 7 + 2 + 4 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 147248595 and 147248604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1774039 + ... + 1774121.

Almost surely, 2^147248640 is an apocalyptic number.

147248640 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 147248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321729408).

147248640 is an abundant number, since it is smaller than the sum of its proper divisors (496210176).

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

147248640 is a wasteful number, since it uses less digits than its factorization.

147248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 147248640 is about 12134.6050615585. The cubic root of 147248640 is about 528.0605991053.

The spelling of 147248640 in words is "one hundred forty-seven million, two hundred forty-eight thousand, six hundred forty".