146893428000 has 576 divisors, whose sum is σ = 570890436480. Its totient is φ = 35474688000.

The previous prime is 146893427981. The next prime is 146893428037. The reversal of 146893428000 is 824398641.

It is a happy number.

146893428000 is a `hidden beast` number, since 146 + 89 + 3 + 428 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137411466 + ... + 137412534.

It is an arithmetic number, because the mean of its divisors is an integer number (991129230).

Almost surely, 2^146893428000 is an apocalyptic number.

146893428000 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 146893428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285445218240).

146893428000 is an abundant number, since it is smaller than the sum of its proper divisors (423997008480).

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

146893428000 is a wasteful number, since it uses less digits than its factorization.

146893428000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 146893428000 in words is "one hundred forty-six billion, eight hundred ninety-three million, four hundred twenty-eight thousand".