145860000 has 480 divisors, whose sum is σ = 595159488. Its totient is φ = 30720000.

The previous prime is 145859981. The next prime is 145860007. The reversal of 145860000 is 68541.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (145860007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8579992 + ... + 8580008.

Almost surely, 2^145860000 is an apocalyptic number.

145860000 is a gapful number since it is divisible by the number (10) 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 145860000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297579744).

145860000 is an abundant number, since it is smaller than the sum of its proper divisors (449299488).

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

145860000 is a wasteful number, since it uses less digits than its factorization.

145860000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 145860000 is about 12077.2513429174. The cubic root of 145860000 is about 526.3953809457.

The spelling of 145860000 in words is "one hundred forty-five million, eight hundred sixty thousand".