154628064 has 72 divisors (see below), whose sum is σ = 443046240. Its totient is φ = 51153408.

The previous prime is 154628063. The next prime is 154628101. The reversal of 154628064 is 460826451.

It is a tau number, because it is divible by the number of its divisors (72).

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 (154628063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37497 + ... + 41415.

It is an arithmetic number, because the mean of its divisors is an integer number (6153420).

Almost surely, 2^154628064 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 154628064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221523120).

154628064 is an abundant number, since it is smaller than the sum of its proper divisors (288418176).

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

154628064 is a wasteful number, since it uses less digits than its factorization.

154628064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4072 (or 4061 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 154628064 is about 12434.9533171621. The cubic root of 154628064 is about 536.7385304705.

The spelling of 154628064 in words is "one hundred fifty-four million, six hundred twenty-eight thousand, sixty-four".