147975045120 has 486 divisors, whose sum is σ = 596732014242. Its totient is φ = 33822867456.

The previous prime is 147975045083. The next prime is 147975045131. The reversal of 147975045120 is 21540579741.

147975045120 is a `hidden beast` number, since 1 + 4 + 7 + 97 + 504 + 51 + 2 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 118380036096 + 29595009024 = 344064^2 + 172032^2 .

It is a super-2 number, since 2×147975045120² (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 polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21139292157 + ... + 21139292163.

Almost surely, 2^147975045120 is an apocalyptic number.

147975045120 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 147975045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298366007121).

147975045120 is an abundant number, since it is smaller than the sum of its proper divisors (448756969122).

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

147975045120 is an frugal number, since it uses more digits than its factorization.

147975045120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

Multiplying 147975045120 by its sum of digits (45), we get a square (6658877030400 = 2580480²).

147975045120 divided by its sum of digits (45) gives a square (3288334336 = 57344²).

The spelling of 147975045120 in words is "one hundred forty-seven billion, nine hundred seventy-five million, forty-five thousand, one hundred twenty".