147029827392 has 1008 divisors, whose sum is σ = 559570128000. Its totient is φ = 36006985728.

The previous prime is 147029827331. The next prime is 147029827423. The reversal of 147029827392 is 293728920741.

It is a happy number.

147029827392 is a `hidden beast` number, since 1 + 470 + 2 + 9 + 82 + 7 + 3 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 642051534 + ... + 642051762.

Almost surely, 2^147029827392 is an apocalyptic number.

147029827392 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 147029827392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279785064000).

147029827392 is an abundant number, since it is smaller than the sum of its proper divisors (412540300608).

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

147029827392 is a wasteful number, since it uses less digits than its factorization.

147029827392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 147029827392 in words is "one hundred forty-seven billion, twenty-nine million, eight hundred twenty-seven thousand, three hundred ninety-two".