152549668311040 has 624 divisors, whose sum is σ = 500290112931840. Its totient is φ = 43890372771840.

The previous prime is 152549668311013. The next prime is 152549668311041. The reversal of 152549668311040 is 40113866945251.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152549668311041) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 142971841 + ... + 144034879.

Almost surely, 2^{152549668311040} is an apocalyptic number.

152549668311040 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 152549668311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250145056465920).

152549668311040 is an abundant number, since it is smaller than the sum of its proper divisors (347740444620800).

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

152549668311040 is a wasteful number, since it uses less digits than its factorization.

152549668311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063106 (or 1063077 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 55.

The spelling of 152549668311040 in words is "one hundred fifty-two trillion, five hundred forty-nine billion, six hundred sixty-eight million, three hundred eleven thousand, forty".