146151398400 has 792 divisors, whose sum is σ = 570857141376. Its totient is φ = 32875315200.

The previous prime is 146151398369. The next prime is 146151398401. The reversal of 146151398400 is 4893151641.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146151398401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 267186927 + ... + 267187473.

Almost surely, 2^146151398400 is an apocalyptic number.

146151398400 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 146151398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285428570688).

146151398400 is an abundant number, since it is smaller than the sum of its proper divisors (424705742976).

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

146151398400 is a wasteful number, since it uses less digits than its factorization.

146151398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 146151398400 in words is "one hundred forty-six billion, one hundred fifty-one million, three hundred ninety-eight thousand, four hundred".