153944064 has 170 divisors, whose sum is σ = 475787730. Its totient is φ = 49545216.

The previous prime is 153944051. The next prime is 153944111. The reversal of 153944064 is 460449351.

153944064 is a `hidden beast` number, since 153 + 9 + 440 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 132710400 + 21233664 = 11520^2 + 4608^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5308402 + ... + 5308430.

Almost surely, 2^153944064 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 153944064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237893865).

153944064 is an abundant number, since it is smaller than the sum of its proper divisors (321843666).

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

153944064 is an frugal number, since it uses more digits than its factorization.

153944064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 153944064 is about 12407.4197156379. The cubic root of 153944064 is about 535.9459364792.

The spelling of 153944064 in words is "one hundred fifty-three million, nine hundred forty-four thousand, sixty-four".