145667652480 has 1152 divisors, whose sum is σ = 634657121280. Its totient is φ = 31269224448.

The previous prime is 145667652451. The next prime is 145667652509. The reversal of 145667652480 is 84256766541.

145667652480 is a `hidden beast` number, since 1 + 4 + 56 + 67 + 6 + 52 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (145667652451) and next prime (145667652509).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 314616729 + ... + 314617191.

It is an arithmetic number, because the mean of its divisors is an integer number (550917640).

Almost surely, 2^145667652480 is an apocalyptic number.

145667652480 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 145667652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317328560640).

145667652480 is an abundant number, since it is smaller than the sum of its proper divisors (488989468800).

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

145667652480 is an equidigital number, since it uses as much as digits as its factorization.

145667652480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 145667652480 in words is "one hundred forty-five billion, six hundred sixty-seven million, six hundred fifty-two thousand, four hundred eighty".