152122067042400 has 2304 divisors, whose sum is σ = 687579292108800. Its totient is φ = 31998700339200.

The previous prime is 152122067042369. The next prime is 152122067042419. The reversal of 152122067042400 is 4240760221251.

152122067042400 is a `hidden beast` number, since 1 + 5 + 2 + 1 + 2 + 206 + 7 + 0 + 42 + 400 = 666.

It is a super-2 number, since 2×152122067042400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 60341953140 + ... + 60341955660.

It is an arithmetic number, because the mean of its divisors is an integer number (298428512200).

Almost surely, 2^{152122067042400} is an apocalyptic number.

152122067042400 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 152122067042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343789646054400).

152122067042400 is an abundant number, since it is smaller than the sum of its proper divisors (535457225066400).

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

152122067042400 is a wasteful number, since it uses less digits than its factorization.

152122067042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2961 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 152122067042400 in words is "one hundred fifty-two trillion, one hundred twenty-two billion, sixty-seven million, forty-two thousand, four hundred".