145768896 has 336 divisors, whose sum is σ = 538463744. Its totient is φ = 38071296.

The previous prime is 145768891. The next prime is 145768919. The reversal of 145768896 is 698867541.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2903040) is a multiple of the sum of its prime divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145768891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1415181 + ... + 1415283.

Almost surely, 2^145768896 is an apocalyptic number.

145768896 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 145768896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269231872).

145768896 is an abundant number, since it is smaller than the sum of its proper divisors (392694848).

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

145768896 is a wasteful number, since it uses less digits than its factorization.

145768896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 128 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 145768896 is about 12073.4790346445. The cubic root of 145768896 is about 526.2857627894.

The spelling of 145768896 in words is "one hundred forty-five million, seven hundred sixty-eight thousand, eight hundred ninety-six".