147842640 has 180 divisors, whose sum is σ = 546066612. Its totient is φ = 35819520.

The previous prime is 147842633. The next prime is 147842663. The reversal of 147842640 is 46248741.

147842640 is a `hidden beast` number, since 1 + 4 + 7 + 8 + 4 + 2 + 640 = 666.

147842640 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 106007616 + 41835024 = 10296^2 + 6468^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 = 147842595 and 147842604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 86272 + ... + 87968.

Almost surely, 2^147842640 is an apocalyptic number.

147842640 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 147842640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273033306).

147842640 is an abundant number, since it is smaller than the sum of its proper divisors (398223972).

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

147842640 is a wasteful number, since it uses less digits than its factorization.

147842640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1738 (or 1718 counting only the distinct ones).

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

The square root of 147842640 is about 12159.0558844016. The cubic root of 147842640 is about 528.7697107150.

It can be divided in two parts, 14784 and 2640, that added together give a square (17424 = 132²).

The spelling of 147842640 in words is "one hundred forty-seven million, eight hundred forty-two thousand, six hundred forty".