145123343020040 has 288 divisors, whose sum is σ = 418529117323800. Its totient is φ = 45122624870400.

The previous prime is 145123343020039. The next prime is 145123343020127. The reversal of 145123343020040 is 40020343321541.

It can be written as a sum of positive squares in 4 ways, for example, as 145025322681316 + 98020338724 = 12042646^2 + 313082^2 .

It is a junction number, because it is equal to n+sod(n) for n = 145123343019979 and 145123343020006.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 96250370 + ... + 97746510.

Almost surely, 2^{145123343020040} is an apocalyptic number.

145123343020040 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 145123343020040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209264558661900).

145123343020040 is an abundant number, since it is smaller than the sum of its proper divisors (273405774303760).

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

145123343020040 is a wasteful number, since it uses less digits than its factorization.

145123343020040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496597 (or 1496575 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 145123343020040 its reverse (40020343321541), we get a palindrome (185143686341581).

The spelling of 145123343020040 in words is "one hundred forty-five trillion, one hundred twenty-three billion, three hundred forty-three million, twenty thousand, forty".