147861504 has 208 divisors, whose sum is σ = 503255040. Its totient is φ = 42024960.

The previous prime is 147861473. The next prime is 147861521. The reversal of 147861504 is 405168741.

It is a happy number.

147861504 is a `hidden beast` number, since 147 + 8 + 6 + 1 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 774049 + ... + 774239.

Almost surely, 2^147861504 is an apocalyptic number.

147861504 is a gapful number since it is divisible by the number (14) 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 147861504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251627520).

147861504 is an abundant number, since it is smaller than the sum of its proper divisors (355393536).

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

147861504 is an equidigital number, since it uses as much as digits as its factorization.

147861504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 147861504 is about 12159.8315777810. The cubic root of 147861504 is about 528.7921992375.

It can be divided in two parts, 14786 and 1504, that added together give a triangular number (16290 = T₁₈₀).

The spelling of 147861504 in words is "one hundred forty-seven million, eight hundred sixty-one thousand, five hundred four".