153146450160 has 480 divisors, whose sum is σ = 569422054656. Its totient is φ = 36578304000.

The previous prime is 153146450143. The next prime is 153146450161. The reversal of 153146450160 is 61054641351.

153146450160 is a `hidden beast` number, since 1 + 5 + 3 + 1 + 4 + 645 + 0 + 1 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153146450161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 188836155 + ... + 188836965.

Almost surely, 2^153146450160 is an apocalyptic number.

153146450160 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 153146450160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284711027328).

153146450160 is an abundant number, since it is smaller than the sum of its proper divisors (416275604496).

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

153146450160 is a wasteful number, since it uses less digits than its factorization.

153146450160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

It can be divided in two parts, 153146 and 450160, that added together give a palindrome (603306).

The spelling of 153146450160 in words is "one hundred fifty-three billion, one hundred forty-six million, four hundred fifty thousand, one hundred sixty".