152053977600 has 1800 divisors, whose sum is σ = 679795935588. Its totient is φ = 33443020800.

The previous prime is 152053977553. The next prime is 152053977601. The reversal of 152053977600 is 6779350251.

152053977600 is a `hidden beast` number, since 1 + 5 + 2 + 0 + 5 + 39 + 7 + 7 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 22557636864 + 129496340736 = 150192^2 + 359856^2 .

It is a tau number, because it is divible by the number of its divisors (1800).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152053977601) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2082931164 + ... + 2082931236.

Almost surely, 2^152053977600 is an apocalyptic number.

152053977600 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 152053977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339897967794).

152053977600 is an abundant number, since it is smaller than the sum of its proper divisors (527741957988).

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

152053977600 is an equidigital number, since it uses as much as digits as its factorization.

152053977600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 152053977600 in words is "one hundred fifty-two billion, fifty-three million, nine hundred seventy-seven thousand, six hundred".