147972096 has 140 divisors (see below), whose sum is σ = 444044832. Its totient is φ = 49102848.

The previous prime is 147972091. The next prime is 147972101. The reversal of 147972096 is 690279741.

It is an interprime number because it is at equal distance from previous prime (147972091) and next prime (147972101).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147972091) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 663441 + ... + 663663.

Almost surely, 2^147972096 is an apocalyptic number.

147972096 is a gapful number since it is divisible by the number (16) 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 147972096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222022416).

147972096 is an abundant number, since it is smaller than the sum of its proper divisors (296072736).

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

147972096 is an frugal number, since it uses more digits than its factorization.

147972096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 147972096 is about 12164.3781591991. The cubic root of 147972096 is about 528.9240018849.

The spelling of 147972096 in words is "one hundred forty-seven million, nine hundred seventy-two thousand, ninety-six".