152066678400 has 1728 divisors, whose sum is σ = 707223797280. Its totient is φ = 31979888640.

The previous prime is 152066678363. The next prime is 152066678417. The reversal of 152066678400 is 4876660251.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 495331047 + ... + 495331353.

Almost surely, 2^152066678400 is an apocalyptic number.

152066678400 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 152066678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353611898640).

152066678400 is an abundant number, since it is smaller than the sum of its proper divisors (555157118880).

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

152066678400 is a wasteful number, since it uses less digits than its factorization.

152066678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 152066678400 in words is "one hundred fifty-two billion, sixty-six million, six hundred seventy-eight thousand, four hundred".