145403406720 has 1536 divisors, whose sum is σ = 642435494400. Its totient is φ = 30636195840.

The previous prime is 145403406713. The next prime is 145403406751. The reversal of 145403406720 is 27604304541.

145403406720 is a `hidden beast` number, since 1 + 4 + 540 + 3 + 40 + 6 + 72 + 0 = 666.

145403406720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×145403406720³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 892045359 + ... + 892045521.

It is an arithmetic number, because the mean of its divisors is an integer number (418252275).

Almost surely, 2^145403406720 is an apocalyptic number.

145403406720 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 145403406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321217747200).

145403406720 is an abundant number, since it is smaller than the sum of its proper divisors (497032087680).

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

145403406720 is a wasteful number, since it uses less digits than its factorization.

145403406720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 145403406720 in words is "one hundred forty-five billion, four hundred three million, four hundred six thousand, seven hundred twenty".