145398260736 has 264 divisors, whose sum is σ = 439321637664. Its totient is φ = 48027893760.

The previous prime is 145398260669. The next prime is 145398260737. The reversal of 145398260736 is 637062893541.

145398260736 is a `hidden beast` number, since 14 + 539 + 8 + 2 + 60 + 7 + 36 = 666.

It is a super-2 number, since 2×145398260736² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (145398260737) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28115431 + ... + 28120601.

It is a 1-persistent number, because it is pandigital, but 2⋅145398260736 = 290796521472 is not.

Almost surely, 2^145398260736 is an apocalyptic number.

145398260736 is a gapful number since it is divisible by the number (16) 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 145398260736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219660818832).

145398260736 is an abundant number, since it is smaller than the sum of its proper divisors (293923376928).

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

145398260736 is an equidigital number, since it uses as much as digits as its factorization.

145398260736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5319 (or 5289 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 145398260736 in words is "one hundred forty-five billion, three hundred ninety-eight million, two hundred sixty thousand, seven hundred thirty-six".