147386736 has 320 divisors, whose sum is σ = 531394560. Its totient is φ = 38154240.

The previous prime is 147386663. The next prime is 147386761. The reversal of 147386736 is 637683741.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 147386691 and 147386700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2416146 + ... + 2416206.

It is an arithmetic number, because the mean of its divisors is an integer number (1660608).

Almost surely, 2^147386736 is an apocalyptic number.

147386736 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 147386736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265697280).

147386736 is an abundant number, since it is smaller than the sum of its proper divisors (384007824).

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

147386736 is a wasteful number, since it uses less digits than its factorization.

147386736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 137 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 147386736 is about 12140.2939008905. The cubic root of 147386736 is about 528.2256267112.

It can be divided in two parts, 1473 and 86736, that added together give a square (88209 = 297²).

The spelling of 147386736 in words is "one hundred forty-seven million, three hundred eighty-six thousand, seven hundred thirty-six".