146642496 has 336 divisors, whose sum is σ = 535106880. Its totient is φ = 34836480.

The previous prime is 146642479. The next prime is 146642501. The reversal of 146642496 is 694246641.

146642496 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 (336).

It is a super-2 number, since 2×146642496² = 43008043266220032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (248832) is a multiple of the sum of its prime factors (162).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1345290 + ... + 1345398.

It is an arithmetic number, because the mean of its divisors is an integer number (1592580).

Almost surely, 2^146642496 is an apocalyptic number.

146642496 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 146642496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267553440).

146642496 is an abundant number, since it is smaller than the sum of its proper divisors (388464384).

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

146642496 is a wasteful number, since it uses less digits than its factorization.

146642496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 145 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 146642496 is about 12109.6034617158. The cubic root of 146642496 is about 527.3350214441.

The spelling of 146642496 in words is "one hundred forty-six million, six hundred forty-two thousand, four hundred ninety-six".