153445046306772 has 192 divisors, whose sum is σ = 417085032349440. Its totient is φ = 43391375769600.

The previous prime is 153445046306749. The next prime is 153445046306777. The reversal of 153445046306772 is 277603640544351.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153445046306777) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 254556772 + ... + 255158852.

It is an arithmetic number, because the mean of its divisors is an integer number (2172317876820).

Almost surely, 2^{153445046306772} is an apocalyptic number.

153445046306772 is a gapful number since it is divisible by the number (12) 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 153445046306772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208542516174720).

153445046306772 is an abundant number, since it is smaller than the sum of its proper divisors (263639986042668).

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

153445046306772 is a wasteful number, since it uses less digits than its factorization.

153445046306772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603082 (or 603080 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 57.

The spelling of 153445046306772 in words is "one hundred fifty-three trillion, four hundred forty-five billion, forty-six million, three hundred six thousand, seven hundred seventy-two".