146159391361536 has 2880 divisors, whose sum is σ = 557175319747200. Its totient is φ = 37597981704192.

The previous prime is 146159391361513. The next prime is 146159391361567. The reversal of 146159391361536 is 635163193951641.

It is a happy number.

146159391361536 is a `hidden beast` number, since 1 + 4 + 6 + 1 + 5 + 9 + 3 + 9 + 1 + 3 + 615 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1506797849040 + ... + 1506797849136.

It is an arithmetic number, because the mean of its divisors is an integer number (193463652690).

Almost surely, 2^{146159391361536} is an apocalyptic number.

146159391361536 is a gapful number since it is divisible by the number (16) 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 146159391361536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278587659873600).

146159391361536 is an abundant number, since it is smaller than the sum of its proper divisors (411015928385664).

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

146159391361536 is an equidigital number, since it uses as much as digits as its factorization.

146159391361536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 228 counting only the distinct ones).

The product of its digits is 47239200, while the sum is 63.

The spelling of 146159391361536 in words is "one hundred forty-six trillion, one hundred fifty-nine billion, three hundred ninety-one million, three hundred sixty-one thousand, five hundred thirty-six".