145219253760 has 960 divisors, whose sum is σ = 612125553600. Its totient is φ = 32526434304.

The previous prime is 145219253759. The next prime is 145219253771. The reversal of 145219253760 is 67352912541.

145219253760 is a `hidden beast` number, since 1 + 4 + 5 + 21 + 92 + 537 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×145219253760² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 179504236 + ... + 179505044.

It is an arithmetic number, because the mean of its divisors is an integer number (637630785).

Almost surely, 2^145219253760 is an apocalyptic number.

145219253760 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 145219253760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306062776800).

145219253760 is an abundant number, since it is smaller than the sum of its proper divisors (466906299840).

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

145219253760 is an equidigital number, since it uses as much as digits as its factorization.

145219253760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 145219253760 in words is "one hundred forty-five billion, two hundred nineteen million, two hundred fifty-three thousand, seven hundred sixty".