152537420 has 72 divisors (see below), whose sum is σ = 373589664. Its totient is φ = 51247872.

The previous prime is 152537401. The next prime is 152537431. The reversal of 152537420 is 24735251.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 487184 + ... + 487496.

Almost surely, 2^152537420 is an apocalyptic number.

152537420 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 152537420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186794832).

152537420 is an abundant number, since it is smaller than the sum of its proper divisors (221052244).

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

152537420 is a wasteful number, since it uses less digits than its factorization.

152537420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 152537420 is about 12350.6040338115. The cubic root of 152537420 is about 534.3085602794.

It can be divided in two parts, 152537 and 420, that multiplied together give a triangular number (64065540 = T₁₁₃₁₉).

The spelling of 152537420 in words is "one hundred fifty-two million, five hundred thirty-seven thousand, four hundred twenty".