145254389400 has 192 divisors, whose sum is σ = 501614100000. Its totient is φ = 38634370560.

The previous prime is 145254389389. The next prime is 145254389419. The reversal of 145254389400 is 4983452541.

145254389400 is a `hidden beast` number, since 1 + 4 + 525 + 4 + 3 + 89 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2066026 + ... + 2135174.

Almost surely, 2^145254389400 is an apocalyptic number.

145254389400 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 145254389400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250807050000).

145254389400 is an abundant number, since it is smaller than the sum of its proper divisors (356359710600).

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

145254389400 is a wasteful number, since it uses less digits than its factorization.

145254389400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69563 (or 69548 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 145254389400 in words is "one hundred forty-five billion, two hundred fifty-four million, three hundred eighty-nine thousand, four hundred".