145266054400 has 216 divisors, whose sum is σ = 364181801984. Its totient is φ = 57364070400.

The previous prime is 145266054379. The next prime is 145266054421. The reversal of 145266054400 is 4450662541.

It is an interprime number because it is at equal distance from previous prime (145266054379) and next prime (145266054421).

It is a super-2 number, since 2×145266054400² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 145266054400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254406115 + ... + 254406685.

Almost surely, 2^145266054400 is an apocalyptic number.

145266054400 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 145266054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182090900992).

145266054400 is an abundant number, since it is smaller than the sum of its proper divisors (218915747584).

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

145266054400 is a wasteful number, since it uses less digits than its factorization.

145266054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

The spelling of 145266054400 in words is "one hundred forty-five billion, two hundred sixty-six million, fifty-four thousand, four hundred".