147361040 has 40 divisors (see below), whose sum is σ = 345667608. Its totient is φ = 58419200.

The previous prime is 147361037. The next prime is 147361057. The reversal of 147361040 is 40163741.

It can be written as a sum of positive squares in 4 ways, for example, as 4892944 + 142468096 = 2212^2 + 11936^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×147361040² = 43430552219763200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 890 + ... + 17190.

Almost surely, 2^147361040 is an apocalyptic number.

147361040 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 147361040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172833804).

147361040 is an abundant number, since it is smaller than the sum of its proper divisors (198306568).

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

147361040 is a wasteful number, since it uses less digits than its factorization.

147361040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16427 (or 16421 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 147361040 is about 12139.2355607756. The cubic root of 147361040 is about 528.1949272626.

The spelling of 147361040 in words is "one hundred forty-seven million, three hundred sixty-one thousand, forty".