146312540400 has 240 divisors, whose sum is σ = 526687289856. Its totient is φ = 34449423360.

The previous prime is 146312540389. The next prime is 146312540419. The reversal of 146312540400 is 4045213641.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 154909 + ... + 562691.

Almost surely, 2^146312540400 is an apocalyptic number.

146312540400 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 146312540400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263343644928).

146312540400 is an abundant number, since it is smaller than the sum of its proper divisors (380374749456).

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

146312540400 is a wasteful number, since it uses less digits than its factorization.

146312540400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407840 (or 407829 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 146312540400 in words is "one hundred forty-six billion, three hundred twelve million, five hundred forty thousand, four hundred".