145510062764160 has 512 divisors, whose sum is σ = 477233213184000. Its totient is φ = 37695945605120.

The previous prime is 145510062764153. The next prime is 145510062764197. The reversal of 145510062764160 is 61467260015541.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 29872726525 + ... + 29872731395.

It is an arithmetic number, because the mean of its divisors is an integer number (932096119500).

Almost surely, 2^{145510062764160} is an apocalyptic number.

145510062764160 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 145510062764160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238616606592000).

145510062764160 is an abundant number, since it is smaller than the sum of its proper divisors (331723150419840).

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

145510062764160 is a wasteful number, since it uses less digits than its factorization.

145510062764160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8004 (or 7992 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 145510062764160 in words is "one hundred forty-five trillion, five hundred ten billion, sixty-two million, seven hundred sixty-four thousand, one hundred sixty".