154314720000 has 1350 divisors, whose sum is σ = 671617472988. Its totient is φ = 35271936000.

The previous prime is 154314719987. The next prime is 154314720037. The reversal of 154314720000 is 27413451.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (1350).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 22044959997 + ... + 22044960003.

Almost surely, 2^154314720000 is an apocalyptic number.

154314720000 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 154314720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335808736494).

154314720000 is an abundant number, since it is smaller than the sum of its proper divisors (517302752988).

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

154314720000 is an frugal number, since it uses more digits than its factorization.

154314720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Multiplying 154314720000 by its sum of digits (27), we get a square (4166497440000 = 2041200²).

154314720000 divided by its sum of digits (27) gives a square (5715360000 = 75600²).

The spelling of 154314720000 in words is "one hundred fifty-four billion, three hundred fourteen million, seven hundred twenty thousand".