152414031 has 32 divisors (see below), whose sum is σ = 264388608. Its totient is φ = 75731040.

The previous prime is 152414021. The next prime is 152414057. The reversal of 152414031 is 130414251.

152414031 = 3293² + 3294² + ... + 3306².

It is not a de Polignac number, because 152414031 - 2⁶ = 152413967 is a prime.

It is a super-2 number, since 2×152414031² = 46460073691337922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 152413989 and 152414007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152414021) 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, 9031 + ... + 19656.

It is an arithmetic number, because the mean of its divisors is an integer number (8262144).

Almost surely, 2^152414031 is an apocalyptic number.

152414031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

152414031 is a deficient number, since it is larger than the sum of its proper divisors (111974577).

152414031 is a wasteful number, since it uses less digits than its factorization.

152414031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28731.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 152414031 is about 12345.6077614672. The cubic root of 152414031 is about 534.1644522883.

Adding to 152414031 its reverse (130414251), we get a palindrome (282828282).

The spelling of 152414031 in words is "one hundred fifty-two million, four hundred fourteen thousand, thirty-one".