146061501600 has 288 divisors, whose sum is σ = 544486150656. Its totient is φ = 33315609600.

The previous prime is 146061501533. The next prime is 146061501631. The reversal of 146061501600 is 6105160641.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8239947 + ... + 8257653.

It is an arithmetic number, because the mean of its divisors is an integer number (1890576912).

Almost surely, 2^146061501600 is an apocalyptic number.

146061501600 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 146061501600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272243075328).

146061501600 is an abundant number, since it is smaller than the sum of its proper divisors (398424649056).

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

146061501600 is a wasteful number, since it uses less digits than its factorization.

146061501600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18228 (or 18215 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 146061501600 in words is "one hundred forty-six billion, sixty-one million, five hundred one thousand, six hundred".