145400270400 has 672 divisors, whose sum is σ = 660841512960. Its totient is φ = 30212352000.

The previous prime is 145400270387. The next prime is 145400270423. The reversal of 145400270400 is 4072004541.

145400270400 is a `hidden beast` number, since 14 + 540 + 0 + 2 + 70 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×145400270400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 3304545 + ... + 3348255.

Almost surely, 2^145400270400 is an apocalyptic number.

145400270400 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 145400270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330420756480).

145400270400 is an abundant number, since it is smaller than the sum of its proper divisors (515441242560).

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

145400270400 is a wasteful number, since it uses less digits than its factorization.

145400270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43760 (or 43739 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

Adding to 145400270400 its reverse (4072004541), we get a palindrome (149472274941).

The spelling of 145400270400 in words is "one hundred forty-five billion, four hundred million, two hundred seventy thousand, four hundred".