145747178640 has 240 divisors, whose sum is σ = 559745566848. Its totient is φ = 33292560384.

The previous prime is 145747178639. The next prime is 145747178657. The reversal of 145747178640 is 46871747541.

145747178640 is a `hidden beast` number, since 1 + 4 + 57 + 471 + 7 + 86 + 40 = 666.

145747178640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 8796604 + ... + 8813156.

Almost surely, 2^145747178640 is an apocalyptic number.

145747178640 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 145747178640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279872783424).

145747178640 is an abundant number, since it is smaller than the sum of its proper divisors (413998388208).

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

145747178640 is a wasteful number, since it uses less digits than its factorization.

145747178640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18326 (or 18317 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 145747178640 in words is "one hundred forty-five billion, seven hundred forty-seven million, one hundred seventy-eight thousand, six hundred forty".