145353888 has 72 divisors (see below), whose sum is σ = 414662976. Its totient is φ = 48297600.

The previous prime is 145353883. The next prime is 145353899. The reversal of 145353888 is 888353541.

145353888 is a `hidden beast` number, since 1 + 4 + 535 + 38 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×145353888² = 42255505513433088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145353883) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123543 + ... + 124713.

It is an arithmetic number, because the mean of its divisors is an integer number (5759208).

Almost surely, 2^145353888 is an apocalyptic number.

145353888 is a gapful number since it is divisible by the number (18) 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 145353888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207331488).

145353888 is an abundant number, since it is smaller than the sum of its proper divisors (269309088).

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

145353888 is a wasteful number, since it uses less digits than its factorization.

145353888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618 (or 1607 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 145353888 is about 12056.2800232908. The cubic root of 145353888 is about 525.7858381095.

The spelling of 145353888 in words is "one hundred forty-five million, three hundred fifty-three thousand, eight hundred eighty-eight".