145913856 has 192 divisors, whose sum is σ = 452874240. Its totient is φ = 41287680.

The previous prime is 145913843. The next prime is 145913857. The reversal of 145913856 is 658319541.

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

Its product of digits (129600) is a multiple of the sum of its prime divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145913857) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1148865 + ... + 1148991.

It is an arithmetic number, because the mean of its divisors is an integer number (2358720).

Almost surely, 2^145913856 is an apocalyptic number.

145913856 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 145913856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226437120).

145913856 is an abundant number, since it is smaller than the sum of its proper divisors (306960384).

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

145913856 is a wasteful number, since it uses less digits than its factorization.

145913856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 160 counting only the distinct ones).

The product of its digits is 129600, while the sum is 42.

The square root of 145913856 is about 12079.4807835436. The cubic root of 145913856 is about 526.4601600974.

The spelling of 145913856 in words is "one hundred forty-five million, nine hundred thirteen thousand, eight hundred fifty-six".