147098952 has 288 divisors, whose sum is σ = 541270080. Its totient is φ = 35043840.

The previous prime is 147098947. The next prime is 147098981. The reversal of 147098952 is 259890741.

147098952 is a `hidden beast` number, since 1 + 470 + 98 + 95 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 147098898 and 147098907.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 936858 + ... + 937014.

It is an arithmetic number, because the mean of its divisors is an integer number (1879410).

Almost surely, 2^147098952 is an apocalyptic number.

147098952 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 147098952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270635040).

147098952 is an abundant number, since it is smaller than the sum of its proper divisors (394171128).

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

147098952 is a wasteful number, since it uses less digits than its factorization.

147098952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 147098952 is about 12128.4356781903. The cubic root of 147098952 is about 527.8816022406.

The spelling of 147098952 in words is "one hundred forty-seven million, ninety-eight thousand, nine hundred fifty-two".