152158537440 has 1152 divisors, whose sum is σ = 662766354432. Its totient is φ = 30934794240.

The previous prime is 152158537439. The next prime is 152158537441. The reversal of 152158537440 is 44735851251.

152158537440 is a `hidden beast` number, since 1 + 5 + 2 + 158 + 53 + 7 + 440 = 666.

152158537440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (152158537439) and next prime (152158537441).

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 (152158537441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 682325169 + ... + 682325391.

It is an arithmetic number, because the mean of its divisors is an integer number (575318016).

Almost surely, 2^152158537440 is an apocalyptic number.

152158537440 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 152158537440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331383177216).

152158537440 is an abundant number, since it is smaller than the sum of its proper divisors (510607816992).

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

152158537440 is a wasteful number, since it uses less digits than its factorization.

152158537440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

It can be divided in two parts, 1521585 and 37440, that multiplied together give a square (56968142400 = 238680²).

The spelling of 152158537440 in words is "one hundred fifty-two billion, one hundred fifty-eight million, five hundred thirty-seven thousand, four hundred forty".