146148502500 has 1800 divisors, whose sum is σ = 658797467328. Its totient is φ = 27760320000.

The previous prime is 146148502483. The next prime is 146148502541. The reversal of 146148502500 is 5205841641.

It is a happy number.

146148502500 is a `hidden beast` number, since 1 + 4 + 6 + 148 + 5 + 0 + 2 + 500 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 599 ways as a sum of consecutive naturals, for example, 1418917449 + ... + 1418917551.

Almost surely, 2^146148502500 is an apocalyptic number.

146148502500 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 146148502500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329398733664).

146148502500 is an abundant number, since it is smaller than the sum of its proper divisors (512648964828).

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

146148502500 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 9 representation: 146148502500 = (458210164500)₉.

146148502500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 146148502500 in words is "one hundred forty-six billion, one hundred forty-eight million, five hundred two thousand, five hundred".