145620308160 has 336 divisors, whose sum is σ = 537063696000. Its totient is φ = 36084252672.

The previous prime is 145620308147. The next prime is 145620308161. The reversal of 145620308160 is 61803026541.

It is a happy number.

145620308160 is a `hidden beast` number, since 1 + 4 + 562 + 0 + 30 + 8 + 1 + 60 = 666.

145620308160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145620308160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (145620308161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3849016 + ... + 3886664.

Almost surely, 2^145620308160 is an apocalyptic number.

145620308160 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 145620308160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268531848000).

145620308160 is an abundant number, since it is smaller than the sum of its proper divisors (391443387840).

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

145620308160 is a wasteful number, since it uses less digits than its factorization.

145620308160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37768 (or 37755 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 145620308160 in words is "one hundred forty-five billion, six hundred twenty million, three hundred eight thousand, one hundred sixty".