145522690560 has 640 divisors, whose sum is σ = 564758853120. Its totient is φ = 35300966400.

The previous prime is 145522690559. The next prime is 145522690583. The reversal of 145522690560 is 65096225541.

145522690560 is a `hidden beast` number, since 1 + 4 + 5 + 5 + 22 + 69 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×145522690560² (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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63796620 + ... + 63798900.

It is an arithmetic number, because the mean of its divisors is an integer number (882435708).

Almost surely, 2^145522690560 is an apocalyptic number.

145522690560 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 145522690560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282379426560).

145522690560 is an abundant number, since it is smaller than the sum of its proper divisors (419236162560).

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

145522690560 is a wasteful number, since it uses less digits than its factorization.

145522690560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2397 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 145522690560 in words is "one hundred forty-five billion, five hundred twenty-two million, six hundred ninety thousand, five hundred sixty".