152058816 has 224 divisors, whose sum is σ = 550753280. Its totient is φ = 40061952.

The previous prime is 152058811. The next prime is 152058827. The reversal of 152058816 is 618850251.

152058816 is a `hidden beast` number, since 1 + 520 + 58 + 81 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152058811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156765 + ... + 157731.

It is an arithmetic number, because the mean of its divisors is an integer number (2458720).

Almost surely, 2^152058816 is an apocalyptic number.

152058816 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 152058816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275376640).

152058816 is an abundant number, since it is smaller than the sum of its proper divisors (398694464).

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

152058816 is a wasteful number, since it uses less digits than its factorization.

152058816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 152058816 is about 12331.2130790121. The cubic root of 152058816 is about 533.7491562675.

The spelling of 152058816 in words is "one hundred fifty-two million, fifty-eight thousand, eight hundred sixteen".