146987343360 has 800 divisors, whose sum is σ = 618625842912. Its totient is φ = 32885637120.

The previous prime is 146987343343. The next prime is 146987343361. The reversal of 146987343360 is 63343789641.

It is a happy number.

146987343360 is a `hidden beast` number, since 1 + 469 + 87 + 3 + 43 + 3 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 146987343297 and 146987343306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146987343361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29650002 + ... + 29654958.

Almost surely, 2^146987343360 is an apocalyptic number.

146987343360 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 146987343360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309312921456).

146987343360 is an abundant number, since it is smaller than the sum of its proper divisors (471638499552).

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

146987343360 is a wasteful number, since it uses less digits than its factorization.

146987343360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5016 (or 4991 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 146987343360 in words is "one hundred forty-six billion, nine hundred eighty-seven million, three hundred forty-three thousand, three hundred sixty".