151904640 has 128 divisors (see below), whose sum is σ = 492513120. Its totient is φ = 39813120.

The previous prime is 151904617. The next prime is 151904651. The reversal of 151904640 is 46409151.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 151904598 and 151904607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116472 + ... + 117768.

Almost surely, 2^151904640 is an apocalyptic number.

151904640 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 151904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246256560).

151904640 is an abundant number, since it is smaller than the sum of its proper divisors (340608480).

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

151904640 is a wasteful number, since it uses less digits than its factorization.

151904640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 151904640 is about 12324.9600405032. The cubic root of 151904640 is about 533.5687016686.

The spelling of 151904640 in words is "one hundred fifty-one million, nine hundred four thousand, six hundred forty".