147917120 has 168 divisors, whose sum is σ = 402546312. Its totient is φ = 51425280.

The previous prime is 147917093. The next prime is 147917123. The reversal of 147917120 is 21719741.

147917120 = T₁ + T₂ + ... + T₉₆₀.

147917120 is a nontrivial binomial coefficient, being equal to C(962, 3).

It can be written as a sum of positive squares in 4 ways, for example, as 17774656 + 130142464 = 4216^2 + 11408^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147917123) by changing a digit.

It is the 960-th tetrahedral number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3997742 + ... + 3997778.

It is an arithmetic number, because the mean of its divisors is an integer number (2396109).

Almost surely, 2^147917120 is an apocalyptic number.

147917120 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 147917120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201273156).

147917120 is an abundant number, since it is smaller than the sum of its proper divisors (254629192).

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

147917120 is a wasteful number, since it uses less digits than its factorization.

147917120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 32.

The square root of 147917120 is about 12162.1182365573. The cubic root of 147917120 is about 528.8584901463.

The spelling of 147917120 in words is "one hundred forty-seven million, nine hundred seventeen thousand, one hundred twenty".