147007692 has 108 divisors (see below), whose sum is σ = 409130904. Its totient is φ = 44478720.

The previous prime is 147007661. The next prime is 147007717. The reversal of 147007692 is 296700741.

It is a happy number.

147007692 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×147007692² = 43222523014333728, which contains 22 as substring.

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 443967 + ... + 444297.

Almost surely, 2^147007692 is an apocalyptic number.

147007692 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 147007692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204565452).

147007692 is an abundant number, since it is smaller than the sum of its proper divisors (262123212).

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

147007692 is a wasteful number, since it uses less digits than its factorization.

147007692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 147007692 is about 12124.6728615662. The cubic root of 147007692 is about 527.7724139691.

The spelling of 147007692 in words is "one hundred forty-seven million, seven thousand, six hundred ninety-two".