147025863936 has 576 divisors, whose sum is σ = 509366108160. Its totient is φ = 40967700480.

The previous prime is 147025863931. The next prime is 147025864001. The reversal of 147025863936 is 639368520741.

147025863936 is a `hidden beast` number, since 1 + 470 + 2 + 5 + 86 + 3 + 93 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×147025863936² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147025863931) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 436278360 + ... + 436278696.

It is an arithmetic number, because the mean of its divisors is an integer number (884316160).

It is a 1-persistent number, because it is pandigital, but 2⋅147025863936 = 294051727872 is not.

Almost surely, 2^147025863936 is an apocalyptic number.

147025863936 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 147025863936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254683054080).

147025863936 is an abundant number, since it is smaller than the sum of its proper divisors (362340244224).

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

147025863936 is a wasteful number, since it uses less digits than its factorization.

147025863936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 147025863936 in words is "one hundred forty-seven billion, twenty-five million, eight hundred sixty-three thousand, nine hundred thirty-six".