147451772160 has 648 divisors, whose sum is σ = 647438684256. Its totient is φ = 30638039040.

The previous prime is 147451772129. The next prime is 147451772189. The reversal of 147451772160 is 61277154741.

147451772160 is a `hidden beast` number, since 1 + 4 + 7 + 4 + 517 + 72 + 1 + 60 = 666.

It is a super-2 number, since 2×147451772160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6197407 + ... + 6221153.

It is an arithmetic number, because the mean of its divisors is an integer number (999133772).

Almost surely, 2^147451772160 is an apocalyptic number.

147451772160 is a gapful number since it is divisible by the number (10) 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 147451772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323719342128).

147451772160 is an abundant number, since it is smaller than the sum of its proper divisors (499986912096).

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

147451772160 is a wasteful number, since it uses less digits than its factorization.

147451772160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23799 (or 23775 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 147451772160 in words is "one hundred forty-seven billion, four hundred fifty-one million, seven hundred seventy-two thousand, one hundred sixty".