152254080000 has 1320 divisors, whose sum is σ = 628483695840. Its totient is φ = 36495360000.

The previous prime is 152254079963. The next prime is 152254080061. The reversal of 152254080000 is 80452251.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1320).

It is a super-3 number, since 3×152254080000³ (a number of 35 digits) contains 333 as substring.

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 119 ways as a sum of consecutive naturals, for example, 1710719956 + ... + 1710720044.

It is an arithmetic number, because the mean of its divisors is an integer number (476124012).

Almost surely, 2^152254080000 is an apocalyptic number.

152254080000 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 152254080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314241847920).

152254080000 is an abundant number, since it is smaller than the sum of its proper divisors (476229615840).

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

152254080000 is an frugal number, since it uses more digits than its factorization.

152254080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 152254080000 in words is "one hundred fifty-two billion, two hundred fifty-four million, eighty thousand".