145635071040 has 392 divisors, whose sum is σ = 522756673560. Its totient is φ = 38626689024.

The previous prime is 145635071039. The next prime is 145635071081. The reversal of 145635071040 is 40170536541.

145635071040 is a `hidden beast` number, since 1 + 4 + 5 + 635 + 0 + 7 + 10 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 78001786944 + 67633284096 = 279288^2 + 260064^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 145635070986 and 145635071004.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 45954576 + ... + 45957744.

Almost surely, 2^145635071040 is an apocalyptic number.

145635071040 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 145635071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261378336780).

145635071040 is an abundant number, since it is smaller than the sum of its proper divisors (377121602520).

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

145635071040 is an equidigital number, since it uses as much as digits as its factorization.

145635071040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3401 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 145635071040 in words is "one hundred forty-five billion, six hundred thirty-five million, seventy-one thousand, forty".