145045160400 has 240 divisors, whose sum is σ = 531750422144. Its totient is φ = 33106544640.

The previous prime is 145045160363. The next prime is 145045160411. The reversal of 145045160400 is 4061540541.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6145422 + ... + 6168978.

Almost surely, 2^145045160400 is an apocalyptic number.

145045160400 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 145045160400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265875211072).

145045160400 is an abundant number, since it is smaller than the sum of its proper divisors (386705261744).

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

145045160400 is a wasteful number, since it uses less digits than its factorization.

145045160400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24318 (or 24307 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 145045160400 in words is "one hundred forty-five billion, forty-five million, one hundred sixty thousand, four hundred".