145061131440 has 320 divisors, whose sum is σ = 473291600256. Its totient is φ = 36713005056.

The previous prime is 145061131433. The next prime is 145061131471. The reversal of 145061131440 is 44131160541.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 145061131398 and 145061131407.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90832722 + ... + 90834318.

Almost surely, 2^145061131440 is an apocalyptic number.

145061131440 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 145061131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236645800128).

145061131440 is an abundant number, since it is smaller than the sum of its proper divisors (328230468816).

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

145061131440 is a wasteful number, since it uses less digits than its factorization.

145061131440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 145061131440 its reverse (44131160541), we get a palindrome (189192291981).

The spelling of 145061131440 in words is "one hundred forty-five billion, sixty-one million, one hundred thirty-one thousand, four hundred forty".