145466496 has 192 divisors, whose sum is σ = 500004000. Its totient is φ = 41513472.

The previous prime is 145466491. The next prime is 145466537. The reversal of 145466496 is 694664541.

It is a happy number.

145466496 is a `hidden beast` number, since 14 + 546 + 6 + 4 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (145466491) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168915 + ... + 169773.

Almost surely, 2^145466496 is an apocalyptic number.

145466496 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 145466496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250002000).

145466496 is an abundant number, since it is smaller than the sum of its proper divisors (354537504).

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

145466496 is an equidigital number, since it uses as much as digits as its factorization.

145466496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 871 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 145466496 is about 12060.9492163760. The cubic root of 145466496 is about 525.9215813160.

The spelling of 145466496 in words is "one hundred forty-five million, four hundred sixty-six thousand, four hundred ninety-six".