152111520 has 360 divisors, whose sum is σ = 596149092. Its totient is φ = 36495360.

The previous prime is 152111497. The next prime is 152111543. The reversal of 152111520 is 25111251.

It is an interprime number because it is at equal distance from previous prime (152111497) and next prime (152111543).

It can be written as a sum of positive squares in 2 ways, for example, as 150700176 + 1411344 = 12276^2 + 1188^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 152111493 and 152111502.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1568112 + ... + 1568208.

Almost surely, 2^152111520 is an apocalyptic number.

152111520 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 152111520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298074546).

152111520 is an abundant number, since it is smaller than the sum of its proper divisors (444037572).

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

152111520 is a wasteful number, since it uses less digits than its factorization.

152111520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 152111520 is about 12333.3499098988. The cubic root of 152111520 is about 533.8108154483.

Adding to 152111520 its reverse (25111251), we get a palindrome (177222771).

It can be divided in two parts, 1521 and 11520, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 152111520 in words is "one hundred fifty-two million, one hundred eleven thousand, five hundred twenty".