147007512 has 96 divisors (see below), whose sum is σ = 412885200. Its totient is φ = 47215872.

The previous prime is 147007489. The next prime is 147007529. The reversal of 147007512 is 215700741.

147007512 is a `hidden beast` number, since 147 + 0 + 0 + 7 + 512 = 666.

It is a super-2 number, since 2×147007512² = 43222417168860288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 370098 + ... + 370494.

Almost surely, 2^147007512 is an apocalyptic number.

147007512 is a gapful number since it is divisible by the number (12) 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 147007512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206442600).

147007512 is an abundant number, since it is smaller than the sum of its proper divisors (265877688).

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

147007512 is a wasteful number, since it uses less digits than its factorization.

147007512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 147007512 is about 12124.6654386832. The cubic root of 147007512 is about 527.7721985630.

The spelling of 147007512 in words is "one hundred forty-seven million, seven thousand, five hundred twelve".