147768948 has 60 divisors (see below), whose sum is σ = 388752672. Its totient is φ = 48943440.

The previous prime is 147768937. The next prime is 147768953. The reversal of 147768948 is 849867741.

It is a happy number.

147768948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 147768894 and 147768903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 52743 + ... + 55473.

Almost surely, 2^147768948 is an apocalyptic number.

147768948 is a gapful number since it is divisible by the number (18) 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 147768948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194376336).

147768948 is an abundant number, since it is smaller than the sum of its proper divisors (240983724).

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

147768948 is a wasteful number, since it uses less digits than its factorization.

147768948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2914 (or 2903 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 147768948 is about 12156.0251727281. The cubic root of 147768948 is about 528.6818412219.

The spelling of 147768948 in words is "one hundred forty-seven million, seven hundred sixty-eight thousand, nine hundred forty-eight".