145242694080 has 1008 divisors, whose sum is σ = 597507730560. Its totient is φ = 33256396800.

The previous prime is 145242694049. The next prime is 145242694081. The reversal of 145242694080 is 80496242541.

It is a happy number.

145242694080 is a `hidden beast` number, since 1 + 4 + 524 + 2 + 6 + 9 + 40 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145242694081) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 438799515 + ... + 438799845.

Almost surely, 2^145242694080 is an apocalyptic number.

145242694080 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 145242694080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298753865280).

145242694080 is an abundant number, since it is smaller than the sum of its proper divisors (452265036480).

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

145242694080 is an equidigital number, since it uses as much as digits as its factorization.

145242694080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 145242694080 in words is "one hundred forty-five billion, two hundred forty-two million, six hundred ninety-four thousand, eighty".