146532363120 has 480 divisors, whose sum is σ = 599560625664. Its totient is φ = 32789836800.

The previous prime is 146532363119. The next prime is 146532363121. The reversal of 146532363120 is 21363235641.

146532363120 is a `hidden beast` number, since 1 + 46 + 532 + 3 + 63 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (146532363119) and next prime (146532363121).

It is a super-2 number, since 2×146532363120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146532363121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2753565 + ... + 2806275.

Almost surely, 2^146532363120 is an apocalyptic number.

146532363120 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 146532363120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299780312832).

146532363120 is an abundant number, since it is smaller than the sum of its proper divisors (453028262544).

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

146532363120 is a wasteful number, since it uses less digits than its factorization.

146532363120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52763 (or 52745 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 146532363120 its reverse (21363235641), we get a palindrome (167895598761).

The spelling of 146532363120 in words is "one hundred forty-six billion, five hundred thirty-two million, three hundred sixty-three thousand, one hundred twenty".