151412352 has 192 divisors, whose sum is σ = 504655200. Its totient is φ = 39868416.

The previous prime is 151412323. The next prime is 151412357. The reversal of 151412352 is 253214151.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151412357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244299 + ... + 244917.

Almost surely, 2^151412352 is an apocalyptic number.

151412352 is a gapful number since it is divisible by the number (12) 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 151412352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252327600).

151412352 is an abundant number, since it is smaller than the sum of its proper divisors (353242848).

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

151412352 is a wasteful number, since it uses less digits than its factorization.

151412352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 644 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 151412352 is about 12304.9726533625. The cubic root of 151412352 is about 532.9916867478.

The spelling of 151412352 in words is "one hundred fifty-one million, four hundred twelve thousand, three hundred fifty-two".