147990960 has 240 divisors, whose sum is σ = 544069344. Its totient is φ = 35831808.

The previous prime is 147990959. The next prime is 147990961. The reversal of 147990960 is 69099741.

147990960 is a `hidden beast` number, since 1 + 479 + 90 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (147990959) and next prime (147990961).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (147990961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 907839 + ... + 908001.

Almost surely, 2^147990960 is an apocalyptic number.

147990960 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 147990960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272034672).

147990960 is an abundant number, since it is smaller than the sum of its proper divisors (396078384).

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

147990960 is a wasteful number, since it uses less digits than its factorization.

147990960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 147990960 is about 12165.1535132114. The cubic root of 147990960 is about 528.9464772900.

The spelling of 147990960 in words is "one hundred forty-seven million, nine hundred ninety thousand, nine hundred sixty".