146288021000 has 128 divisors (see below), whose sum is σ = 382119154560. Its totient is φ = 51958368000.

The previous prime is 146288020961. The next prime is 146288021023. The reversal of 146288021000 is 120882641.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318362 + ... + 627638.

It is an arithmetic number, because the mean of its divisors is an integer number (2985305895).

Almost surely, 2^146288021000 is an apocalyptic number.

146288021000 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 146288021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191059577280).

146288021000 is an abundant number, since it is smaller than the sum of its proper divisors (235831133560).

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

146288021000 is a wasteful number, since it uses less digits than its factorization.

146288021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309352 (or 309338 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The spelling of 146288021000 in words is "one hundred forty-six billion, two hundred eighty-eight million, twenty-one thousand".