145427338103040 has 2880 divisors, whose sum is σ = 624198701339136. Its totient is φ = 31645506207744.

The previous prime is 145427338102979. The next prime is 145427338103071. The reversal of 145427338103040 is 40301833724541.

It is a happy number.

145427338103040 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 2 + 7 + 338 + 1 + 0 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×145427338103040² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 188133684094 + ... + 188133684866.

Almost surely, 2^{145427338103040} is an apocalyptic number.

145427338103040 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 145427338103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312099350669568).

145427338103040 is an abundant number, since it is smaller than the sum of its proper divisors (478771363236096).

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

145427338103040 is an equidigital number, since it uses as much as digits as its factorization.

145427338103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 145427338103040 in words is "one hundred forty-five trillion, four hundred twenty-seven billion, three hundred thirty-eight million, one hundred three thousand, forty".