147061936 has 80 divisors (see below), whose sum is σ = 336486400. Its totient is φ = 62233920.

The previous prime is 147061921. The next prime is 147061949. The reversal of 147061936 is 639160741.

147061936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 147061895 and 147061904.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 696871 + ... + 697081.

It is an arithmetic number, because the mean of its divisors is an integer number (4206080).

Almost surely, 2^147061936 is an apocalyptic number.

147061936 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 147061936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168243200).

147061936 is an abundant number, since it is smaller than the sum of its proper divisors (189424464).

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

147061936 is a wasteful number, since it uses less digits than its factorization.

147061936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 147061936 is about 12126.9095815876. The cubic root of 147061936 is about 527.8373197936.

The spelling of 147061936 in words is "one hundred forty-seven million, sixty-one thousand, nine hundred thirty-six".