146076000 has 384 divisors, whose sum is σ = 573640704. Its totient is φ = 31795200.

The previous prime is 146075983. The next prime is 146076001. The reversal of 146076000 is 670641.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146076001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3107977 + ... + 3108023.

It is an arithmetic number, because the mean of its divisors is an integer number (1493856).

Almost surely, 2^146076000 is an apocalyptic number.

146076000 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 146076000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286820352).

146076000 is an abundant number, since it is smaller than the sum of its proper divisors (427564704).

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

146076000 is a wasteful number, since it uses less digits than its factorization.

146076000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 146076000 is about 12086.1904668096. The cubic root of 146076000 is about 526.6550941928.

The spelling of 146076000 in words is "one hundred forty-six million, seventy-six thousand".