146151915840 has 1120 divisors, whose sum is σ = 642611059200. Its totient is φ = 31408570368.

The previous prime is 146151915827. The next prime is 146151915859. The reversal of 146151915840 is 48519151641.

146151915840 is a `hidden beast` number, since 1 + 4 + 61 + 5 + 1 + 9 + 1 + 584 + 0 = 666.

146151915840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 151139037 + ... + 151140003.

Almost surely, 2^146151915840 is an apocalyptic number.

146151915840 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 146151915840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321305529600).

146151915840 is an abundant number, since it is smaller than the sum of its proper divisors (496459143360).

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

146151915840 is an equidigital number, since it uses as much as digits as its factorization.

146151915840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 146151915840 in words is "one hundred forty-six billion, one hundred fifty-one million, nine hundred fifteen thousand, eight hundred forty".