152414037681696 has 1152 divisors, whose sum is σ = 525493530132480. Its totient is φ = 41007124094976.

The previous prime is 152414037681679. The next prime is 152414037681767. The reversal of 152414037681696 is 696186730414251.

152414037681696 is a `hidden beast` number, since 1 + 5 + 2 + 4 + 1 + 403 + 7 + 68 + 169 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 191 ways as a sum of consecutive naturals, for example, 62286078745 + ... + 62286081191.

It is an arithmetic number, because the mean of its divisors is an integer number (456157578240).

It is a 1-persistent number, because it is pandigital, but 2⋅152414037681696 = 304828075363392 is not.

Almost surely, 2^{152414037681696} is an apocalyptic number.

152414037681696 is a gapful number since it is divisible by the number (16) 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 152414037681696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262746765066240).

152414037681696 is an abundant number, since it is smaller than the sum of its proper divisors (373079492450784).

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

152414037681696 is a wasteful number, since it uses less digits than its factorization.

152414037681696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806 (or 2795 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 152414037681696 in words is "one hundred fifty-two trillion, four hundred fourteen billion, thirty-seven million, six hundred eighty-one thousand, six hundred ninety-six".