153406145464 has 192 divisors, whose sum is σ = 367167780000. Its totient is φ = 59487436800.

The previous prime is 153406145461. The next prime is 153406145489. The reversal of 153406145464 is 464541604351.

153406145464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×153406145464² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 153406145464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153406145461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9795112 + ... + 9810760.

Almost surely, 2^153406145464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153406145464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183583890000).

153406145464 is an abundant number, since it is smaller than the sum of its proper divisors (213761634536).

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

153406145464 is a wasteful number, since it uses less digits than its factorization.

153406145464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15750 (or 15735 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 43.

The spelling of 153406145464 in words is "one hundred fifty-three billion, four hundred six million, one hundred forty-five thousand, four hundred sixty-four".